Phono/computer audio hassle. Solutions?

I run my Berkeley DAC straight into my BAT amp to play my digital files because it sounds much better than going through my BAT preamp. The problem is, every time I want to play my phono, I have to unplug the DAC and re-hook up the preamp. Big Hassle to play the vinyl.

Anyway on earth to circumvent this problem and not compromise the sound?