Don't be too picky, but don't burn yourself out by interviewing too much, either. Offers are rarely made on the basis of an ACPA interview. However, the ACPA interview may help you get invited to campus. Most CCs interview candidates on campus before hiring them. If you end up paying your own expenses, make sure that you are going to a site that highly interests you and that you are a true candidate for the job.
Interviews vary from a few hours to two full days.
You will often be asked to meet with staff or faculty outside the center and with higher administrators. You may or may not be required to do a presentation. Be flexible but assertive. Make sure you get in early enough to get a good night's rest before the interview. If you want some extra time to look around the town, ask for it.