There is a pet proof screen that works very well at not snagging after cats climb it, and not ripping when dogs try to get through it. Maybe it would work for squirrels.
The wire the handyman is using is strong stuff and he’s patched the holes with it plus covering some of the soffit. These monsters cling to the screen with their nails and just chew small holes they are able to get through and it’s just normal screening. The only alternative is to have the entire porch rescreened with the tough stuff but oh! my! what an expense that would be and not even at ground level. Maybe the handyman is right - leave the door open for them in the winter to save the screen...Thanks for your reply...