An AP running in 2.4Ghz won't interfere with the main router if you put them on unique channels (1,6,11). A repeater running only in 2.4Ghz has to use part of the time to receive/transmit to the base and part of the time to receive/transmit to the clients. That effectively halves the available bandwidth.
To run the repeater in 5Ghz your main router would also have to be dual band. The 5Ghz refers to the link the repeater makes to the main router. 5Ghz signal does not penetrate walls as well as 2.4Ghz. If you have poor coverage with 2.4Ghz in the kitchen, then the 5Ghz signal strength would probably be even less. You should look into powerline network adapters to create a wired connection to an access point for better 2.4Ghz coverage.