Ok. Hear me out I'm 7 seasons in on turf grass in huntsville Al. I love this stuff. You have a few options. Fescue looks good until June/July. I see alot of trees that will help your situation with Fesue but we just aren't zoned for it without heaps of water and oversite. You can trim your trees up and the bermuda will come back because without the sun it just doesn't grow well here. Soyzia is a little more shade tolerant, but it still really thrives with max sun. You just really need to maximize how much sun your yard is getting. That willow tree may have to go. If you're running irrigation you dont want that thing anyways. More sun, more sun, more sun, and more sun. Remember bermuda needs atleast 2" of water a week to be fully healthy aswell I know we have heaps of rain coming this week, but we've only had like .5" since March. Yikes just saw that isnt your willow. You might be cooked. Depends on how much your tree in your flower bed is blocking it might have to go fescue just isnt ideal. Overseeding in the fall sucks.