What's the best indoor mosquito trap or other way to get rid of mosquitoes inside your home?

Best way is to stop them from getting inside in the first place, ensure you close doors behind you etc. and mesh 'fly screens' at each window. If any happen to still come inside, a little non-irritant fly-spray does the trick

I would get a trap. There are indoor models.

http://hubpages.com/hub/mosquito-killer-mosquito-t

Get bug screens on all your windows. If you've already got bug screens make sure there are no holes in any of them. Another tip is to make sure there's no sitting water anywhere inside our out. Sitting water like in a kids wading pool, attracts mosquitoes.

Bounce sheets work to keep them away. My children are allergic to mosquitoe bites so I keep a bounce sheet tucked in their pockets...seems to work for a while.

Definitely a trap. Mega-Catch make a small model for indoor/outdoor use, the Alpha, and it was reviewed on barefootmommies : http://www.barefootmommies.com/2009/06/mega-catch-

There are electric gadgets that trap and zap mosquitoes. You plug them in and hang them in the middle of a wall or the middle of your ceiling near your light fixture.

You've got to eliminate the ones that bite before they get anywhere near indoors. Unfortunately, this usually means an outdoor trap. The female mosquitoes will find the trap before they go indoors looking for you and your family. Look at top traps like the Bantix Mosquito Slayer PRO, which uses carbon dioxide (the gas that's put into fizzy drinks) and other NATURAL attractants to lure the mosquito into the trap where she drowns. You can then tip the mass of dead mosquitoes onto your plants as fertilizer. Beware of spending money on Zappers (the mosquitoes and no-see-ums are often too small to get zapped) and other cheap traps that are not very efficient or robust. Around your family and friends, safety is an issue, the reliable Mosquito Slayer leads the way on this point, as it is only 12volts and doesn't use explosive gasses like some traps do.