For the purposes of equipment, I'm going with the following items of issue in terms of weaponry; I will list the Bergen designation and the real world equivalent. All characters, in the Swiss tradition (which we are carrying over) are issued a rifle that they keep in the home in the event of callup to the militia. Most purchase their weapon at the end of their service and retain it. The Augstbergen, like the Swiss, are very, very, fond of their rifles.

The Augstbergen design their own rifles, that much is clear, but for everything else, they tend to refine designs they like and modify them to suit their needs, both in terms of quality as well as weight, as necessary. Even the regular infantry fight in an alpine environment, so light is better.

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- Service Cartridges: [b]7.5x55mm[/b] for rifles and machineguns, [b]9x19mm[/b] for pistols and SMG's. The old [b].455[/b] crops up in the old P83/13 revolver, though.
- Service Rifle: [b]Gewehr m1934 - G34[/b] ([url=http://en.wikipedia.org/wiki/K31]Swiss K31[/url]) - Also scoped and issued as a sniper variant. The rifles are already damned accurate, so very little is done besides mounting a scope offset to the left side of the receiver. The neighbors use turnbolt action rifles of varying designs, but the Bergens are stubborn and their rifles are the ultimate refinement of the straight-pull bolt-action. If your characters were 17 in 1934, they got this rifle and keep it in their closets. (Current year is 1940.) Some of the graybeards swear by the older guns, and claim that the G34 is too short, but serving troops tend to appreciate the handier G34 in alpine terrain.
Older Service Rifle: [b]Gewehr m1891/14 - G91/14[/b] ( [url=http://shootingshed.co.uk/wp/wp-content/uploads/2012/08/IMAG0442.jpg]Schmidt-Rubin 1896/11[/url]) - The younger characters probably were issued the G34 when they were serving in the ranks, but there are older marks as well, such as the G91/14 (which is an even older design rechambered to a modern cartridge when the Principality switched calibers to something modern). It is a much longer weapon, not nearly as handy as the G34, and the G34 has a much more compact action; the sight radius is about the same, though the barrel is considerably longer. There is a carbine version of the weapon called the [url=http://i6.photobucket.com/albums/y206/jd46561/Swiss%20rifles/TigerK11006.jpg]K14[/url] though it is not as accurate as the G91/14 or the G34 due to a shorter sight radius.
- Sidearm: [b]Repetierpistole m1903 - R03[/b] ([url=http://en.wikipedia.org/wiki/Luger_pistol]Luger P08[/url]) - Issued to officers and NCO's, though on a very limited basis for the latter. 
- Alternate Sidearm: [b]Pistole m1883/13 - P83/13[/b] ([url=http://en.wikipedia.org/wiki/Webley_Revolver]Webley Mk. VI[/url]) - These are old school and more common in the ranks -- they were sold off after production of the R03 started, though they seem to keep cropping up in the ranks. They also have a reputation for stopping power, owing to a .455 caliber round.
- Submachinegun: [b]Maschinenpistole m1937- MP37 [/b]([url=http://en.wikipedia.org/wiki/Suomi_M-31_SMG]Suomi M-31[/url]) - These are just coming into service, but so far have only been issued to NCO's (Korporal and above) and officers. 
- Light Machinegun: [b]Maschinengewehr M1924 - MG24[/b] ([url=http://en.wikipedia.org/wiki/Browning_Automatic_Rifle]M1918 Browning Automatic Rifle[/url]) - The Jägers take two per squad, which is double what the usual issue is. Other members of the squad help carry the ammo to keep this weapon 'fed.' 
- Heavy Machinegun: [b]Maschinengewehr M1904 - MG04[/b] ([url=http://en.wikipedia.org/wiki/M1917_Browning_machine_gun]M1917 Browning Machinegun[/url]) - This weapon is very similar to the other heavy machineguns of Augustin Lanik, thus the nickname "Lanik gun" but the variant in use with the Principality has been lightened up considerably while retaining the reliability of other weapons in this class; Augstberg is mountains, and the gun is already a bitch to haul and requires a crew of at least two, though three is preferred. It is water-cooled.
- Anti-Tank Rifle: [b]Gewehr M1939[/b] ([url=http://en.wikipedia.org/wiki/Solothurn_S-18/100]Solothurn S-18[/url]) - A just-introduced weapon firing a 20mm round, this semi-automatic rifle is intended to deal with enemy tanks by firing a large caliber, steel-cored round that is also chambered in the Principality's favorite dual-mount anti-aircraft cannon...which is also the primary cannon armament for its aircraft. You get the idea.
- Bayonet: [b]m1918 Bayonet[/b] ([url=http://www.fieldserviceantiquearms.co.uk/ekmps/shops/lesadamsonaam/images/nice-swiss-m1918-schmidt-rubin-knife-bayonet-%5B2%5D-1280-p.jpg]Swiss m1918[/url]) - A 13" blade, double edged and high quality steel. But Jägers tend to own their own knives -- usually hunting knives of some sort -- that they bring along with their kit instead of the pigsticker.
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I'll go into details on the characteristics of these weapons. I tried to pick a mix. You can assume things about bayonets and combat knives and so forth.

The Bergen standard uniform is [url=http://i20.servimg.com/u/f20/11/50/72/61/sdc13316.jpg]grayish-blue[/url], but [url=http://www.dhm.de/lemo/objekte/pict/pk930043/index.jpg]Jägers[/url] wear green tunics instead, while retaining the pants, though they also distinguish themselves with a special field cap as well as mountain boots. Everyone has camouflaged ponchos/shelter halves that see a lot of use in a lot of different ways. It is similar to the German [url=http://en.wikipedia.org/wiki/Splittertarnmuster]Splittertarnmusterpattern[/url], but a darker brown color. The reverse side is a white winter camo; white. In the field Principality troops tend to wear comfortable clothing beneath the uniforms -- inevitably, the stuff made for hunters, including the gloves, is superior to the military issue, as it is subject to the demands of the market, rather than the whims of some old colonel in procurement.

I'll throw the helmet up to vote. 
[indent] - [url=http://en.wikipedia.org/wiki/M1_helmet]M1 Helmet (US)[/url]
- [url=http://en.wikipedia.org/wiki/Brodie_helmet]Brodie Helmet (UK/Commonwealth)[/url]
- [url=http://en.wikipedia.org/wiki/Stahlhelm]Stahlhelm (Germany)[/url] - Yes, we're talking the old 1915 version. It's heavy.
- [url=http://en.wikipedia.org/wiki/Adrian_helmet]Adrian Helmet (France)[/url] - The Soviets used a copy of this too, alongside a bunch of other helmets.
- The Swiss M18 Helmet -- the one you saw up on the front page of this RP. ;)[/indent]