Connecting Multiple Home Routers?

wireless networking in their home. Their home is built of bricks (inside walls and outside), so basically going about 10 feet around a wall will drop a wireless signal.One problem is that the router outside in the office has a separate network than the router inside of the house by the kitchen. They're both configured to use different SSIDs/encryption keys, etc, but they both are connected via ethernet cable. Problem is, moving from one side of the house, she has to switch her tablet/iPhone to the network being broadcasted by the first router, and then vice versa when going around the second wireless network.

Can I just simply configure the router inside as a wireless bridge and use the exact same SSID/encryption etc and have only one network show up regardless of which one she's closest to?I basically want to set up her network to where she just needs one wireless network, and no matter where she go in her house, she's connected to the same network (regardless of which router it's connected to), and still have internet access.