+1 on the radon testing. It's a good idea anyway, but especaiily if you or your kids spend a lot of time in the basement, whey the levels are higher (if present) .
I had to install a passive vent system and a ERV (air exchanger) to get the levels down.
I put radon vent and bought radon meter / alarm and dehumidifier
http://www.amazon.com/Safety-Siren-...d=1410014021&sr=8-1&keywords=radon+test+meter