Another option would a floor wash and a cleansing. Jason Miller’s book Protection and Reversal Magick has some good ones that can help clear the house of negative energy. It shouldn’t affect any entities you have invited as long as you keep that intention in mind.
Also check out some Hoodoo materials.
Yes, you would do the Kabbalistic cross as it normally is done.
Check out this thread for a version called the Adverse Star: