To go after warts, you might start with a salicylic acid treatment. It's a fairly gentle but also time-consuming approach. Twice daily, you soak and dry the wart, then apply the medication (in foam, liquid or pad form). You then use a file or pumice stone to file away the dead skin. The only downside? It may be a few months before you see results with this method. Retinoid cream is another common method for wart removal, but it doesn't work as well as salicylic acid.
A common home remedy for wart banishment is covering the offender with duct tape for several days, then soaking and filing away the dead skin before recovering it. Scientific studies are inconclusive on whether this method works -- anecdotal evidence is really all we have to go on.
Cryotherapy, in which the blood vessels of the wart are frozen with liquid nitrogen, can be done with an at-home kit or in a doctor's office. Taking away its blood supply suffocates the wart, although you may have some blistering and pain to contend with. But if you're looking for a solution that's likely to destroy warts on the first try, cryotherapy is a good place to start.
A chemical named cantharidin is sometimes administered when therapies such as freezing the wart fail, but the resulting blisters can be painful.
If those don't appeal to you, or don't work, you have other medical options.