more pressure! Make sure your tires are pumped up to what the side wall recommends. 60psi is what I run but you can lower it slightly if you get thrown around too much. 99% of the time pinch flats are caused by an underinflated tire. This SHOULD solve your problem. Depending on how crappy your pump is (like if its made by Bell or whatever it is in Scotland) you might need to buy a new pump, but highly doubt it. I got a $8 pump to give me 100psi on my road bike until I broke the head.
If thats not the problem, very carefully check the inside of the tire for anything that might be poking in and causing flats. Forget the tape, since most tires and such will be able to prevent most punctures if they are properly installed.
If those two free fixes don't work, try some new rim tape. Some people have good luck with the slime brand.
Last edited by mrchristian; 10-16-05 at 04:15 PM.