I'm not sure what type of school that one is that you looked into, but generally speaking, private colleges are much quicker to get into, usually require less pre requisites, etc. However, they are usually MUCH, MUCH more pricey.
Public colleges or vocational schools can be a lot less expensive, but some have long waiting lists, tougher pre requisites and more competition to acceptance.
Look into both and see which one would be better for you. Also, even if your degree is non-science, see if any of your classes are credited at a public college, which they likely would not be at a private college. See if you can talk to any former students, even ask to sit in on a class to get a feel for it. If you do talk to a private college, DON'T let them bamboozle you into giving a deposit, etc. They are for profit and will do almost anything to get you to sign up.
My advice is RESEARCH, RESEARCH, RESEARCH!!
Good luck on choosing! I love nursing school so far!!