No, you should not be doing that. You should always keep each business and personal account separate. My accountant even recommends using multiple banks. Keep your personal account at one bank, and each individual business at others. In your case you should be using three banks. Why do this? If you get audited it is much easier to show you are not mixing funds inappropriately. Number two you are building connections with multiple banks in your area. Just remember if you get audited it is guilty until proven innocent.
I opened my business account at the same bank as my personal account because they gave me a $100 dollar credit.