It wasn't really hard at all; you just have to get used to playing as the Werebeaver, a LOT. I sometimes spend whole winters transformed. Living logs, silk, spider glands, and logs / boards will all be in abundance. Try not to eat pinecones when you're in beaver mode, and also make sure after a while that you spend a few days going around the map, replanting trees EVERYWHERE. Try to have some Jerky in an ice box to take care of your stats when you change back. Lastly, make sure to have a couple trees by your base in case you need to tranform quickly. I'll let you know if I think of anything else.
Jerky is great for this, as it lasts a while in an ice box (forever on the rack in vanilla), as well as giving good boosts to every stat (25 hunger, 15 sanity, 20 health). Try to transform / pass out as close to your camp as you can, if not in your camp, for quick healing once you get back. The Tam is a good thing to have for sanity, and can be aquired after a good winter of beavering. Sleeping in a tent maxes your health (as well as providing sanity), so this is good if you don't have healing items / jerky. Lastly, don't be afraid to go beaver mode immediatly again. I've woken up to hounds barking and had to change immediatly back to beaver because I would have been too weak otherwise.