mice

I wish I could be some help - I don't know if there are any traps for mice where you can catch them and it is not a hazard when they are released. I do want to say that I think it is wonderful that you want to treat the mouse humanely. Even a lot of people who consider themselves animal lovers would just set a trap.

Buy the catch & release mouse traps. There are several types but the cheapest is just a plastic box with a one door that traps the mouse and you can relocate him. You can get these at Wal-Mart, Home Depot, Lowes. I bet you have more than one mouse.

I use those too. Seems the little deer mice always get cought in the plastic traps. If it is a fieldmouse, you need to buy one of the wiretraps (haveaheart). I am not sure if the fielmice would even fit in the plastic one! Use a little peanutbutter on a half cracker for bait. Works every time!
When you have cought it and are ready to take it some other place, put a little cloth over the trap so the mouse doesn't get a heartattack from being handled.

You can also use peppermint oil. It's a natural deterrent. Put a little bit of it on a rag and apply it where ever the mice might be entering the shed ( along the base boards). A little bit of it goes a long way! They don't like it at all, but your shed will smell great.