Wildlife are invading our house, help!

Our house backs onto some woodland so there’s quite a lot of wildlife around.

Squirrels have made their home above one of the bedroom ceilings and we found a mouse downstairs yesterday.

I’ve bought some mesh to cover the air bricks in the walls from outside and I’m going to try and block off any routes into the house that the mice are taking.

As for the squirrels, I’ve seen these one way doors that you can install so I’m planning to wait until June when they shouldn’t be nesting and install it.

They’re probably grey squirrels so any pest controller is legally obliged to kill them if they’re caught, and I’m not prepared to do that.

Any other ideas or recommendations?

I’m struggling to find anyone nearby that will remove the mice without killing them.

We’re in the north west.

Thank you!