I remember a thread on here about a similar subject awhile back. Someone posted a link to a website that had a starter kit, but I can't remember the web site. Some of these supplies can be homemade, or you may have them already. Anyway, here is a list of basic supplies for starters:
1 small shovel or big trowel
1 pair of rubber gloves (preferrably long enough to cover lower arm)
1 dirt sifter (can be homemade)
1 pair of rubber boots
1 pack or bucket for carrying supplies
1 bottle of lure for coons, foxes, coyotes, etc
1 hammer
1 sharp knife
1 .22 cal pistol orrifle
Pan covers (wax paper)
Trap wax
Trap Dye (or use walnut hulls)
Trap Stakes (or make them yourself)

Those are the basics, except you need to know how many traps you can set and check according to your regulations. I don't know what your reg's are, so I'll suggest checking them first. In VA you must check the traps every 24 hours. I could comfortably check on about a dozen traps in gentle terrain in about an hour and a half. This route was about a mile in length. I packed my supplies in a bucket. I always packed some extra traps, stakes, hammer, peat moss, pan covers, gun, and scent with me every time. With that much weight its hard to go very fast in 10 degree weather! But, you won't have the temp. problem.

I would buy a minumum of a dozen no. 2 coilspring traps to start with. If you can go larger for the coyotes and beaver then buy a few no. 3 coilsprings for them, and if allowed a few conibears for the beaver. If you buy conibears you will also need to purchase a tool setter for them as they are real tough to set.

So, what about the price?? I don't know! You can check with a couple of different suppliers and get their catalog, or check on e-bay. But, I really doubt that your local hunting supply store will have the supplies you need.
Also, check out www.trapperman.com You can learn more from that website than anywhere else I know of. And, a couple good trapping books with illustrations will be valuable. Good Luck.