Daniel, go with the bridger #3. Trapping is a game of inches, so I buy into the bigger trap theory.
Check out
http://www.pcsoutdoors.com/bridgercoiltrap.aspx . You can get a dozen traps for $13 dollars more than the eBay kit. Then all you need is a few items more and you're set to get started. For pan covers, go to a fabric store and get you a good bit of denim fabric, cut a piece to use as a drop cloth (you'll use this to kneel on) and use the rest as pan covers; cut in squares big enough to cover the entire inside area of the trap. Cut a slit in one side and place the slit over your dog. Tuck the corners in under the jaws.
Everything else you need you might have in your garage already. If you have a masons hammer you can do away with the spade. IMO, get a small sifter, they are easier to pack up and carry. If you walk any traps in to areas, you want everything as light and portable as you can get it.
Those fang anchors are great and inexpensive, get the pre made kits and you won't have to buy all the tools to make your own.
Get some 3/4 or 1" PVC pipe (for coyotes mostly). Cut it into 6-8" pieces with a 45 on one end. These will be your bait holders. If you're trapping on a power line right of way, it's probably not uncommon to come across things that look like this so they won't be too out of place, plus it gets a yote's attention and then he gets curious. Drive these in the ground where you would normally place your bait in reference to your trap, place the bait in the pipe, and wa-la, a no dig hole set.
Oh, if you're all about convenience like me, get some full metal jacket trap dip. No boiling, no dying, no waxing needed. Clean any shipping oils off the traps if you buy new ones and you're ready to dip traps. The stuff is easy and fast. Clean traps to preference, dip, hang to dry, then start hammerin steel in the ground. Make sure your dip stays clean, get all fur, blood and debris off your traps before dipping used traps; a good wire brush can do this.
Get some bobcat urine. You can't totally keep your sent off a set, so cover it up. Get a plastic bottle with some sort of small opening in the cap. As the last step, once you have the set like you want it, sprinkle the urine liberally all over you trap and the area of your set. This serves two purposes, one, covers your sent and any sent the trap and equipment might still have on it, two, is a natural sent lure.
If you use meat from kills, deer liver works best for me on both cats and yotes, add some baking soda (sodium bicarbonate), if you keep it cool, say in the bed of your truck all winter, it will stay good and effective. If it gets too rancid, even a coyote won't touch it.
I know this doesn't sound civilized, but I don't care...pick up every cat and yote turd you come across. For Bobcats I use two baits, liver or turds and urine. With yotes I'll place a turd in the area of the set just for added lure. And always set where you find these free baits. Trapping is like real estate...location, location, location.
There is a whole lot more that could go into this post, but this will get you started. Besides, if you ask 100 trappers how to trap, you'll get 110 different answers.
Oh, and probably the most important part I left out, bedding your trap. Make sure the trap does not move at all once bedded. With the bridgers, what I have found to work good is to sift some dirt back into your trap bed before you place the trap. Tamp it down by hand till its firm. Press the trap down into that and ensure that it does not move then cover your trap. If a yote's toenail moves the trap, you won't catch him. And don't go jacking with your traps if you see sign of visitation and your trap is still set without being uncovered or moved. They'll be back.
Most of all, enjoy yourself! Good luck and happy trappin'!