Going back to school for Computer Science... Do I want Grad or undergrad?

I’m 26. I have my B.A. in Film and Television from NYU. I’m growing less and less interested with the Entertainment Industry and more interested in the Tech industry. I’m thinking about going back to school for Computer Science and have a few question:

1) I’m interesting in gaining the skills necessary to create web sites and web applications. Or to get a job at a tech company or Internet Startup. I know I’ll need to know how to code. Is what i want Computer Science or is it Software Development or is it something else? What should I be applying for when I apply to schools?

2) What are some good schools?

3) I don’t know how it works when people that have already when for Undergraduate for something else wants to go back to school for something new. Is it more appropriate to apply to Graduate school or undergraduate?