Do I need to file my 90-day report in person after moving to a new address in Thailand?

You can do your 90 day up to 15 days before the due date. Submit online 15 days before your 90 day is due. I just did our first in a new address online successfully (hua hin), but i think it depends on your local office's policy. If you submit 15 days before your due date, you can wait a couple weeks then go in person if need be, as others mentioned you have until 7 days after your due date.

If your new address is registered with immigration before your 90 day report is due you should have no problem.

I think it's worth checking with your new immigration office first. I had to complete a form when I moved, before doing the 90 day report. I am the same as you in that I use the online system before and after the move, so it should be okay.

Just try to submit it online. You have until 7 days after your due date to file in person. If they reject your submission they should give you a reason and you'll have an opportunity to go in person.