Help me get through this WiFi Jargon

I have small wired 100Mbit network consisting of 1 PC and an Xbox in my bedroom. They can both be plugged into a 10/100 Switch.

I want to allow both of these machines to connect to the internet. In my house the DSL connection is in another room. Using a Solwise SAR-110 router and switch, there is a second PC in this other room.

What do you suggest for connecting the bedroom machines (PC and Xbox) to the internet, (wires are unfortunately not an option).
In the router's room do i need an access point or bridge?

what do i need on the bedroom side?

I'm confused as to wheather i need access points or bridges....Both the PC and xbox have to be able to access the internet at the same time.

Also will both the Xbox and PC in the bedroom require their own bridge or access point or will one wireless device plugged into the switch up there work?

Can those two machines keep their unique, private IP addresses?

bit of a confused post, i know...hope you can help though!