Well, you needing to keep RH 7.3 might matter in so much that it probably won't recognize anything on it's own and you will have to get a recent kernel and compile it yourself because by the time RH 7.3 was released I don't think 802.11g was available. If that's ok with you you're good to go.
802.11b devices are rather well supported and support for the faster cards is coming along nicely as well. HP sponsors a project to get wireless support for linux. Here's a page that has good links on what works and how to get it to work.
Hope this helps.