Just to be clear, a MacBook Pro would be way overkill for any of the tasks you mentioned, on-the-go or otherwise.
If you're looking for a portable device to have alongside your iPad when traveling, I would definitely suggest a newer MacBook Air, even an M2 one (Which would also enable you to use Sidecar if you'd like).
If you're looking for an at-home computer solution however, because your iPad meets all your needs when traveling, I would make a different recommendation entirely.
For work at home, I could easily suggest an iMac as you mentioned, as it would be adequately equipped for your needs.
Alternatively, I saw you mentioned owning a monitor already. If you were to buy a MacBook Air, or iMac, you could of course, connect them to your monitor. However, if you are satisfied with that monitor being your main display, the Mac mini, would easily be your most cost-effective option. It has all the power of an iMac or MacBook Air, for $500-$700 less than the MacBook Air and iMac respectively. This means, you could use the extra budget to buy a better monitor, that you would be satisfied with if it were your main monitor, or simply keep the extra, and save it for another day. (The prices and capabilities of these devices are calculated with the most basic and least-costing models of these devices)
If you have any more questions, or information you'd like me to clarify, just ask!
I hope this helps!
[Edited by Moderator]