I can recommend this trap:
https://www.nhbs.com/longworth-small-mammal-trap?bkfno=176703&ca_id=1495&adlocale=uk
It's not cheap but is I think used by professional catchers - luckily I got mine for about a fiver second hand from an outdoor shop when I didn't even know what it was.
It has worked for me twice even though I have only recently discovered that I wasn't using it properly - it's quite a complicated set-up. Once I set it up so badly that the damn mouse had the door close on it but still managed to get out.
Mice are damn cleverer than many folk think I fear - on recently rereading the instructions for that device I find that it has a pre-bait mode - you can set it up so that they can enter, grab the bait and then leave without the door closing.
I can only think that is so that the critters can spread the word amongst friends, family and online friends that there's this great source of nightime snacks - and then they all start coming. Night after night. And presumably that if you didn't "pre-bait" instead they would tell fireside tales of little mickey who went exploring a strange tin box and was never seen again.
I wll re-use it soon with "pre-baiting" and see if Boris turns up to the party.
Do report back on your experiences
@swee'pea99 - I think it needs the pooled intelligence of cyclechat to nab the critters.