In fact, it is not difficult to solve this problem, just do a good job of sanitation.
Of course, this can't be solved at once, but after you pay attention to hygiene (especially don't put too much food and food waste at home), you will find that one day they suddenly disappear.
In fact, a year after I lived in that house, a neighbor asked me if there were any mice there. He said there were many mice in his house. I don't think there is anything to eat at home, and the garbage has arrived in time. Of course, mice will come to your house to make a living. Hmm. How interesting
We believe in Buddhism, and we can't solve the problem directly by killing. Doesn't mean the problem can't be solved. As long as you are diligent and wise, good luck to the landlord.