Access point or range extender???

looking for a device that i can connect to an existing router (WNR1000) with cat5 that will extend my wireless range. i have the router in my finished basement connected to a switch that has 2 pcs, 2 game consoles and 2 printers connected to it. i have a cat5 cable up to the first floor connected to a 3rd pc. i want to connect THAT wire to a access point or range extender so i can get wifi to the 3rd floor for a couple roku boxes. should i be looking at access points or range extenders (already tried the wall plug type range extender, wn3000rp, but it kept loosing signal and is now dead, no power)