I agree, if he had a cat (a good 'mouser' that is) he would find that the mouse problem would kind of go away on its own. It may take a little while, depending on whether there are any nests within the dwelling.
I had my cat drag in a half-eaten rat once! He ate the front half and was kind enough to bring the rear-half in for me to eat! Another time, during construction, the same cat managed to kill a bird that came into our bedroom through a window I was working on. The entire room was covered with feathers and bits and pieces of bird, like he must have been playing with it for an hour before eating it.
He was such a nice cat, best one I ever had! He would go outside and within 5 minutes come back with a mouse, some days, he would do that all day long! He would lay them neatly outside the front door, as gifts for my wife and I. Of course they all went into the garbage.
I can say, if your house is pretty tight (no small spaces for mice to even think about coming in), and if you have a cat or two, you most likely will not have a mouse problem. Like I stated earlier, I read somewhere a long time ago, that for every mouse you see, there are 20 that are out of sight, inside walls, in insulation, in the attic, etc. Especially in winter when it is nasty cold out, they like to make nests in somewhat warm areas. The last two mice that managed to somehow get into my house, I immediately vacuumed it up with my Central Vacuum System. I figured the air is going at least 100 MPH and with the different bends and several 90 degree bends, that mouse would not have survived the speedy trip to the vacuum canister bag, which was about half full. Even if it were to survive, it would be so embedded into the miscellaneous dust, dirt, etc, that it would die rather quickly from lack of oxygen.