I need to create a real estste site that gives a potential buyer the ability to input criteria, i.e. type of residence, number of bedrooms, baths, etc., and have the results pull up listings that meet the criteria. Does Form Central give me that ability and can I incorporate it a Muse site?
FormsCentral does not support the workflow you described above, i.e. process the input data and then in return show the results.
FormsCentral allows you to do survey/data analysis related workflow. The form that you create via FormsCentral can be embedded in your Muse site (in Muse you can select Object/Insert HTML and then paste the embed code that you get via FormsCentral in the HTML input-box.)