Rodent problems?

Check where the hose to the dishwasher is... near the wall. They find those little spots. Don't overlook a thing.

you can't keep them out because they lay eggs while they are there in the winter,

that don't hatch until next winter. So they are already there.

Go outside and look at your house from the ground to the soffits. Mice can climb walls up to the soffit overhang. Those vent holes should have a mesh screen over the openings to let air in and keep bugs and mice out. If you have siding look for gaps under the siding. If you can stick in your pinky finger, the mouse can squeeze through. If your door to the outside does not have a threshold and there is a gap under the door, mice are walking in through the doorway. Same story for the windows. There should be no gaps anywhere. If there is you fix them by nailing on wood to block the opening or using wire mesh or SOS pad. and jamb it in real hard. The mice cannot get in unless you let them in by leaving the door open. Make believe the mice is Poisonous Gas and you don't want any of that in your house. Fix it accordingly. Then also get a Victor snap trap. The cheap one on a piece of wood. Learn how to set it properly and put red tomato in the curl. Just a wee bit. It will catch 1000 mice before it wears out. Instant death and safer than any poison. 100 % the mouse is dead., Release dead mouse into the garbage and reset trap. Other mice do not care. They will still go for the same bait. If you have trap in the house, set it under the stove. That is where the mice hang out.

If your door is closed and the house is tight, no mouse can get in.

Not really. They can get in really small holes and dig eg . go through a hole in your foundations and come up inside somewhere like a pipehole that hasn t been sealed. A deterent such as a cat works way better. There is most likely new technology that you could use too.

You will never be able to stop mice getting into your house if they want to do it. Same as cockroaches. They can get through the most incredibly tiny spaces that you didn't even realise were there.

The only prevention is :

a) find out where they are coming from and destroy it e.g. is there a chicken coop nearby.

b) keep rat and mouse poison stations fully baited

c) get a good mousing cat

d) you could try one of the advertised electronic signal/pulsing devices that I see advertised. They might not really work though for all I know.

Demolition of entire house