I echo much of what Ball01 said. You and your partner are probably not at great risk of causing reinfection or any additional episodes of warts if you continue to have sex. Sometimes health care providers still recommend not having sex while the warts are being treated, so see what yours says about that.
No worries about sheets, toilets, dishes, or anything like that.
Check out some other posts on similar topics that you might find helpful:http://www.ashastd.org/phpbb/viewtopic.php?t=5706