Is it OK to feed my cats in the bathroom?

I feed both of my cats the frankenprey model diet which is a raw meat basically. When I give them the meat in my room they like to toss it around before eating it which is unsanitary. The only hardwood floors are my kitchen and bathrooms. The kitchen is also a problem because all they do is get their mouse or whatever meat they are eating and drag it into the living room. So I just took them into the bathroom and shut the door. Now, I do bleach my floors after every meal (they eat two times a day). What do you think?