How do I remove the chassis from this Zenith radio?

[Kingfisher]

I recently scored this late 60's Zenith tube radio. It is a model Z374L and is pretty dusty inside. The tubes are all original save one: an Amperex "orange globe" 17EW8 and all tested good on my tube tester. As you can see by the pics, it is very shiny, and I haven't even cleaned it yet!

Getting the chassis out is the problem. There is a brown wire and grey wire connecting the clock to the main AC power cord connector. Should I de-solder the wires at the clock or at the AC power cord connector?