Big Sur Caused Issues on my Mac

The past 2 apple updates have caused some pretty annoying issues with both of my Mac computers. The latest update to Big Sur has caused my screen to be filled with HP error messages. I have tried to uninstall and reinstall my HP Printer drivers however the drivers will not open on this computer. They just bounce and bounce and bounce. Uninstalling the printer has not kept the pop ups from coming. I have refused to update my other Mac until this issue is resolved. With as big as Apple and HP are you would think they would communicate and get their ducks in a row before launching updates that will cause these issues. Does anyone know how I can fix this??? I have an HP 6700. Thank you