Since you're in a place with plenty of trees, check out a hammock instead of a tent. It's without a doubt the most comfortable way to camp. Not quite as comfy as a bed (though some like it more) but in a completely different league than the ground in terms of comfort and how well you sleep.

I have a Grand Trunk Ultralight Skeeter Beeter which has a bug net integrated and all you need to add is a tarp for rain/wind cover. I'd get a pretty big one that can give you a little "porch" area and a place to stow your bike in case of overnight rain as well. Hammockforums.net has lots of people that can tell you all about hammocking. The hammock I have cost 60 bucks new, weighs like 20 ounces, and is fantastic except for the stock suspension, which will do, but you'll want to upgrade it if you find you like it and want to continue.

You still need a sleeping pad and sleeping bag in a hammock, for insulation, although hammock nerds usually replace it with a "top quilt" (the ultralight answer to sleeping bag which has no bottom, since the bottom does you no good anyway) and an "underquilt" to keep you warm from below by covering the hammock from the outside. A sleeping mat under you does the same thing, but, and I know as I've used one, it can be real annoying to try and keep it from shifting out under you.

As for the other stuff, hard to go wrong, just buy reputable brands and products with good reviews. Unless you're trying to go light or ultralight (worth thinking about) it's hard to make a real bad purchase.