This reply probably comes far too late to be of much use, but just in case others go looking through recent threads for info...
Raj you are quite right, generally speaking the types of HPV most commonly associated with warts are not the same types most commonly associated with the development of cervical cancer.
Additionally, if you were determined not to date anyone who had ever had HPV you'd be extremely hard up to find a date. The virus infects the vast majority of people in their lifetime, and for most of those folks they never even know they've been infected. This combined with a lack of testing options and a lack of clarity about when the virus stops being transmitted makes trying to avoid the virus pretty impractical.
There are certainly some things you can do - probably the most important being insuring that if you have a cervix you go and get an annual pap smear. If everyone did this we would prevent a ton of cervical cancer cases. If you have warts present you can go to medical professional and have them treated to speed up how quickly they disappear.
If someone has warts present, or has very recently had them present, their chances of transmitting the virus are definitely more significant. If you want to lower that risk there are all sorts of activities you can do with barriers (condoms, dams, gloves) that don't involve skin to skin contact outside of the barrier - I'm think oral sex, hand jobs, sex toys (that are either covered by a condom or can be boiled) etc... Get creative!
Just my two cents!