I'm not sure how they're with "questionable usefulness". Eevee can get Run Away and Adaptability. The former would help you out when you're faced with wild pokemon too strong for you to take on and Adaptability would give you a certain advantage in fights. As for Budew, it has Poison Point and Natural Cure. Both still serve their purposes; its just unfortunate that their applications are more related to battle than anything else.

Also, as stated in the Pokedex in the first post, Baby Pokemon only know their moves up until Level 15. Anything else would have to be thought or learned. So for your Budew, it would know Absorb, Growth, Water Sport, Stun Spore, and Mega Drain.

EDIT: My mistake, I forgot about that part. Okay, it has Energy Ball.