Connecting to a multi-AP WiFi network

I have several APs at home with the same SSID. When I move a device flashed with OMG far away from the first AP it connected to, it holds on to that BSSID even though there are now BSSIDs with much stronger signals available to it.

How do I get it to connect to the nearest AP in this situation? Power cycling the device does not do it.

Thanks