well this video is of me fixing the drywall around a recessed light that I accidentally messed up when replacing an older style ceiling lamp.

Video of how I got the hole in the first place upgrading from an old light fixture:    • Updating old ceiling light with reces...  

I'm no professional, but I've done this a few times now and they have turned out great.

all purpose compound you can pick up at any local hardware store
3" drywall knife: https://amzn.to/3xFwAx9
4" drywall knife: https://amzn.to/3n0xVcX
aluminum compound hawk: https://amzn.to/39CkFIr