I gotta believe that long distance biking is a lot like long distance hiking. In that regard, weight is frequently the driving issue for equipment selection.
If your cooking is just boiling 2 cups of water for one, then I suggest that you make a Pepsi-can alcohol stove. If you are doing more than that, then look at the MSR Whisperlite white gas stove.
Sleeping bags: Mummy shape are the lightest. Synthetic will work just fine, and the extra weight over down is not significant, unless you buy a cold weather bag. Many good brands of bags out there.
Tents: I'd look for a one person backpacking tent, or maybe a two person backpacking tent. Look at the MSR Zoid tents, and the Sierra Design Clip Flashlight tents.