With difficulty! Moth poison, vacuuming, traps, and freezing your clothes may help. Moths can be really hard to get rid of and their eggs are almost indestructible. You can find an account of trying...
Moth balls are the simple answer. Moths like to eat wool so if you have any wool sweaters or blankets, I suggest that you buy some moth balls. You can find them at a drug store (probably) Hope Than...
Patch the holes in your house. Don't leave doors open. Moths are attracted to light at night as well, so don't have a moth-accessable light in your home.