How can I combine multiple text files into a single, alphabetized list?

I have many, many lists of song titles. Each in its own textedit file. There is tons of overlap and duplication. I want to make a master list that has every song listed.

If I could somehow just merge them all and alphabetize the lines, I could manually get rid of duplicates fairly easily.

I have Tiger. Don't know if I have any application that would help. I probably don't want to buy an application, though, because I suspect I may not be able to stick with Tiger much longer.

I appreciate any tips you can give me.

Thanks a lot,
Bruce