He can get warts just as easily as an uncircumcised man. Circumcision only makes them more easily spotted. Venereal warts generally take several months to disappear to the point where they'll not reappear (i.e., "cured"). You're going to have to put your sex life on hold for a while and be patient with treatment. Oral would probably be OK, though. Make sure he keeps his hands off of your privates, though. He can possibly infect himself "by hand."
Having hpv warts means you have to accept the pattern of events you'll have to go through for the next year or two. You'll have wart outbreaks every 1-3 months or so for around a year. Some people have them for up to two years. When you see some, go get them removed and chill. When more come, remove those. At some point, usually after a year but sometimes up to two, you'll realize 4-6 months have gone by without any warts. You can now become cautiously optimistic that your body is controlling outbreaks. After 6 months, be more optimistic. Once you've hit a year with no warts, be very optimistic that you've moved past the outbreak portion. You still carry the virus, but you're probably not going to transfer it anymore. At this point you can enjoy sexual activity without that nagging fear in your head. You can be sexually active long before that, but keep in mind you are still in the potentially contagious period. Going forward, always use protection especially in random encounters.
That's my take on things.