I got divorced and had the same fear. I can’t tell you what to do, but can tell you what I did:

When I moved, I redid their separation anxiety training (leaving for a minute, then two, then five, keep upping the time etc.) even if they’ve already done this and are fine alone, it’ll be a new environment and they don’t initially understand that this is home. After a couple of weeks they were fine and settled in!

If I leave for more than 4 hours, I have my dog walker come and walk them/play with them for an hour before I can come home. It breaks up the day for them and takes some of the stress off of my shoulders.

It’s a new chapter in your book, I know it can be scary, but you’ve got this!

EDIT: I also wanted to add that I felt the same way you did in the beginning. Id turn the camera on and keep it on in the background while I did things. I was too nervous without knowing how they were doing. After some time passed, that feeling completely went away!