I'm running two routers in my home because one isn't enough to get signal from one side of my apartment to the other. So I have the main NetGear dual-band router in my living room connected to my modem, and I have ethernet running to a second Belkin router across the apartment in my bedroom. They are both running the same SSID and security setup, so when I walk across my apartment, the signal on my phone goes from strong in my living room, to weaker in the middle, to strong again near the bedroom. This gives me confidence that I've set this up correctly.
The problem is that my personal computer, running Windows 7 Home Premium (64-bit), which is in the living room area, always wants to connect to the router on the other side of the apartment. I get 2 bars of signal indication (expected for the distance to the other router), but when I disconnect, the network changes to 5 bars (expected for the living room router). When I reconnect it's fine for a while, but after a short time my signal goes down again as if it's connected to the far router until I repeat this process.
This kind of network troubleshooting is outside of my knowledge domain, so I really don't know how to further investigate this issue, so I'm wondering if anyone can recommend settings to check, steps to try, or additional information I can provide to get a resolution to this.