How to notate jazz standard modulations?

Any suggestions on a workflow to input songs that constantly modulate?
I’m trying to input the chords for ‘Blues for Alice’ in F (by Charlie Parker).

I’m a noob trying to get my workflow together - as this is one of the ‘easier’ modulations!

I can’t quite work out how to set up all the different modulations even on a simple song that has lots of 2-5-1s that go into different keys.

Thanks for any help!

Well I did manage to do it, but I’m sure there must be a faster way that hunting every individual scale for the chords!
Thanks for any slick workflows as jazz modulations are semi-logical, but I can’t work out an easier pattern for now.