You’re going to need to battle this on all fronts. Physical traps (the old fashioned ones that break their little backs are so satisfying), poison, a cat, fire, large artillery. Try to eradicate possible nesting locations outside if you can.
I remember I once rented a house only to realize a few months later that it was
infested with mice. It was out in the country so there’s all kinds of random wood piles and debris for the disgusting little things to nest and breed
. I remember trying to go to sleep and then hearing something pitter-pat sprint across the hardwood floor a couple feet away. It triggers this primal response deep in your brain where you are instantly fully alert and ready for confrontation.
I tried to battle them before realizing that this house sat in the center of a much larger nexus of rodent habitats. Big ass rats, skunks, possums (technically marsupials, I know), raccoons, groundhogs, moles, etc. I realized I was living in the middle of the rodent kingdom so I just gave up and moved.