You can get a router that will allow both wireless and wired connections; hook it into your modem and (if it makes you feel more comfortable) run the cable to your machine and let your husband use it wirelessly. I would still encrypt the router; there should be instructions in the box for setting up WEP (I think that's wireless encryption protocal, but I can't remember) or whatever the encryption level is these days (it might have changed since I last set one up).
Good security practices include choosing a password not found in the dictionary; using a mix of lowercase and capital letters, and including numbers; and changing the password frequently.
You can find a wireless router at Best Buy or someplace like that. I've used Linksys and found them fairly easy to configure.