There is actually a very easy way to accomplish this IF and only if you are the sole writer and performer of these songs. I am also assuming that by "circulating" you mean you are shopping tapes and CD's to record labels and such trying to get a record deal? Anyways, if all of this is true, then:
Complete one Form SR. In space 1, give the collection/album title, followed by the individual song titles. In space 2, name yourself as the sole author. In the "nature of authorship" line, describe your authorship as "words, music, and sound recording" (or just "music and sound recording" if there are no words). In space 4, name yourself again as the copyright claimant (owner). Voila! You've just registered both "PA material" (the underlying songs) AND "SR material" (the recorded performances) with a single form and with only $30.
Once you've registered these things as a collection, there's really no need to "re-copyright" each song individually with a CA. The Form CA, as you want to use it, is just an indexing tool--it means that you can go on-line and look up your songs by song title, instead of just by collection title. There's no additional protection given to your actual songs and recordings. It's $100 to do, not cheap, and unless you have a really good reason, it's not necessary to do a Form CA.
Now--if you have other co-writers or performers, or if the songs are "published" (basically, sold or otherwise publicly distributed), my instructions won't necessarily work--there are other things you have to take into consideration.