Will this work with my factory bumper cover?

Yes. This reinforcement bar is designed to sit behind your OEM bumper fascia. Your existing front bumper cover mounts over it without modification.

Do I need to remove the bumper to install this?

Full bumper removal makes installation cleaner and faster, but experienced DIYers can sometimes access mounting points from underneath with the bumper in place. Test-fit first to confirm your approach.

Should I paint this before installation?

The reinforcement bar sits behind your bumper cover and won't be visible once installed. Paint it only if you're concerned about rust protection on the underside, or leave it raw if your climate and storage are dry.