[Property Manager] Rents not as personal income

Hello, We are moving and we would like to rent our current house instead of selling it (keep it as investment). The house is in our name and the bank said we cannot transfer it to an llc.

But my question is: can you rent it out somehow through an llc so that the rents don’t become personal income for tax purposes. We still have to pay the bank and probably we can rent less than the mortgage. So definitely, there wouldn’t be any income from the rental.