Formula to move multiple cells or information across different sheets?

Hello all -

I have a master client list I am putting together. The Master List will have names, addresses, emails, etc. for different clients. I also want to note each client as either "A", "B", or "C" based on how much business they are doing with us. Is it possible for the info on my Master List to be distributed to separate spreadsheets for the "A", "B", and "C" groups? Since their status can change frequently, I don't want to have to copy and paste every time I update the list. The only idea I had was using IF THEN formulas, but I didn't look like that was possible to move multiple cells of information across different spreadsheets. Any ideas?

So the first tab has the beginning of the list. I am trying to make it so that if I put a person under the "A" category in the master list, their information would transfer over into the "A Group" tab.