Practically any wifi router you can buy will work for this if set up as an access point. Some have this functionality in the built in settings while others require a bit of setup. Most routers have a four port switch on the back.
The ssid can be the same or different. Users here have different preferences. I like using the same ssid while setting up an alternate ssid that is just for the AP so anything I want to connect only to the AP will be able to. Like a wireless printer. A different SSID is still the same network, it is more analogous to using a different ethernet cable.
Here is the sticky on converting a router to an access point.http://www.tomshardware.com/forum/36406-43-convert-wireless-router-wireless-access-point