One trick I found with this is that some sort of "talk" radio, i.e. NPR, is a lot better than music. With music, I can sort of "background task" it, while processing talking requires some conscious effort.

I did this for a while, but I found out that listening to the radio in bed was pleasant, and I really wasn't incentivised to get up.

Here's a bad idea: set your alarm clock to the classical music station.