First off, definitely get a stove. I prefer cooking off a campfire, but I always bring a stove with me camping. At certain times, during very dry and hot spells, areas will ban open fires for obvious reasons. A stove is also a lot less hassle to clean up. Which leads me to my number one camping tip: leave as little sign that you were there as possible. Ideally, you leave every campsite looking just as it did when you arrived. Unless there is a designated fire-pit (where it is fine to leave burnt coals), I'd just as soon use the stove so I don't have to crush and spread the coals in the morning.

Other than that, be safe, don't keep food in the tent at night, and don't forget to enjoy the stars!

Sorry I don't have bike-related tips, I'm still a newbie at this bike touring stuff.