Bridging two wireless networks? +repeating, if possible

[Freakin]

Ok, so here's the setup.

1. Apartment with a Linksys WRT54G router and an internet connection
2. Another apartment with Line of Sight to the other apartment, no more than 80 feet away.

I need to get the apartment without an internet connection to participate on the wireless network and bridge over to ethernet. The line of sight is from the living room, and it woudlnt' be the best place for a computer.

I tried using another WRT54G and installing the alchemy firmware, but that didn't work at all (maybe cause it's a v4 router?) and it fried the router.

My next plan is to get a WAP54G, which is just an access point. This supports bridging, repeating, and regular AP mode.

So

Inet----modem----WRT54G-*-*-*-*-*WAP54G----Computers

Obviously, the -*-* is wireless, everything else is wired.

One requirement I have is to be able to route traffic from the internet, through the connection, to one of the computers inside on teh wired network. So I need to be able to do something like serve FTP from the computer on the wired network.

Additionally, I'd *like* to be able to repeat the signal from the WAP54G to provide full wireless coverage inside apt #2.

Anyone have any insight? I'm not sure if
a) Bridging mode will repeat the signal
b) repeating mode will bridge the networks

I'd appreciate anyone with experience (or understanding) to chime in.

Freakin