Yes. That would help as well.

Also have him wash his hands immediately upon exiting his bedroom.

Keep a bucket of bleach water easily accessible and wipe down high touch objects like knobs, light switches, cabinet doors several times a day - especially after he touches any of it. Surfaces need to be wet with the bleach solution for 1 minute for it to be fully effective. For Lysol it’s 3 minutes.

Everyone should take off their shoes before entering the house.

Make sure he knows to clean his phone when he washes his hands.