can I set up and use two descrete wireless networks?

I have a MIFI2200 Verizon for an internet and connect to it wirelessly with a Linksys wmp110 for an internet. I also have a wireless network linking my other computers printers and game consoles. I cant seem to run both wireless networks on the same computer simultaneously. It seems that I should be able to adjust the IP address or the subnet masks or radio channels to avoid conflict. I cant seem to figure this out though. Is there a direction I should start looking to accomplish this? I am running all Linksys hardware except the Verizon MIFI 2200. The os on all my computers is Windows XP pro SP3.