Should I move out?

Are there any problems with your mother?  If not, stay there and save as much as you can to eventually buy your own house.

Really.  not enough info. 

Do you enjoy living with your mom? No issues. It is close to work. I would stay and save up some money.

Nursing pays well you could get into a house with a decent down payment. 

I'm not sure what your current distance to work has to do with you moving out or not unless you're suggesting that it's too far or that you won't be able to find anything close enough.  What you should be looking at is the fact that you're 24 and still living at home.  Unless you are helping support or taking care of your mother, then get out either on your own or with a roommate.  It's an important part of becoming your own person and knowing how to live.  The other option is to live like it's 1950 and go directly from living with your parents to with a man who supports you.

If you can afford to, and want to - then great 

If you're happy where you are ;then there's no immediate need / hurry.