I've lived in NM (very short time), Houston and the East Coast. I would suggest staying in the Dallas area until you receive your nursing degree.
Moving to another state and starting over is hard, especially when you have a child and no support system in place. At least here in Dallas, you are familiar with resources that could provide you with some help while you try to obtain your nursing degree.
I'm not trying to be a cheerleader for the DFW area, I would prefer to be living elsewhere, but due to job and family obligations, I will stay put. BUT, the cost of living here is pretty good when you compare against other major Southern metropolitan areas (you mentioned you wanted to live in a warm climate). Texas has NO state income tax (some other states don't either), keep that in mind.
I suggest trying to enroll in a nursing program asap (Jan), collect information about other cities that fit your criteria (such as nursing opportunities, family friendliness, activities for your child, opportunities for YOU to socialize with other like minded adults, educational system, cost of living, etc). After you figure out where you would like to live, I suggest looking online and getting an idea of where in that city you would like to live, how much it would cost to rent/buy a home and start saving, so that when you do move, you're not struggling.
Hopefully this helps you some. I understand wanting to pack up and leave ASAP, but the transition would be MUCH smoother if you have a well thought out plan.