Cleaning at school?

I am going into the 8th grade next year. And at school I really don't have much time to get stuff at my locker (that's why I am thinking about getting a LadyCup)  anyway, so I can't like bring a  spray bottle or anything. So how can I clean it inside the stall?  I was thinking about just wetting a paper towel and bringing it with me into the stall.  Do you think other girls would think that's weird? lol

And my final question, are there any other alternatives to a spray bottle? so I don't have to stop at my locker.  Thank you!