Do you have somebody around that can help you learn networking and that can help you configure or reconfigure this network?
Setting up a home network involves knowing a few core details about IP networking — greg sahli provided a start, there — but anything past a generic description of IP networking is comparatively difficult for a forum posting, because the various devices can use different configuration interfaces and even different terminology.
The usual hidden or private IP addresses for NAT'd networks are in the range 10.0.0.0 through 10.255.255.255, 172.16.0.0 through 172.31.255.255, or 192.168.0.0 through 192.168.255.255. Properly-functioning gateway-router-NAT boxes should block these address ranges from entering or exiting your own (private) network.
I don't have any introductory materials that would be appropriate here, though there might be some posted around the network.
Here's a video of a basic wireless network using Apple gear, which might help some here — if you're using Apple AirPort or Time Capsule as your gateway-router-NAT box.
If there's nobody around that can help you with this and you want to continue the discussion here, please post the make and model of your gateway-router-NAT box, and what other networking gear (switch, WiFi router, printer, etc) you have, and we can start by helping you configure that. Or as greg sahli suggests, read through the manual for that device, and post up any questions you might have. But when starting a small home network configuration, the gateway-router-NAT box is probably the key part of the whole network configuration.
But see if there's somebody locally that can help — this goes far faster when you can see what's going on, and ask questions.