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Be sure to wear rubber, latex, or vinyl gloves since mice carry communicable diseases. Get your cleaning supplies out, so that you can immediately disinfect the space once the mouse is contained. You'll need a mixture of bleach and water in a spray bottle. The mouse shouldn't be able to get out, but must have ventilation to breathe.  Do not put the mouse in cardboard, since it can easily chew through cardboard containers. Now you can thoroughly disinfect your trashcan and countertops with a mixture of bleach and water after you've removed the mouse. Throw away the cardboard tube. Whatever you do, do not release the mouse right outside your home. Mice can find their way back into a warm environment nearby. Instead, drive the mouse at least five miles away and release it.  Try to relocate the mouse as soon as you can. The mouse will be contained for a shorter period of time, and you can get on with cleaning and disinfecting your home. You can increase its chance of survival if you release it near some kind of shelter. Avoid urban areas, where the mouse might simply return to another home, and wide-open spaces, where it can't find shelter from predators.

Summary:
Remove the mouse from the trash can while wearing gloves. Transfer mouse to a container. Remove the mouse from your house.