I`m currently playing this piece and I`m wondering if you should use the pedal through the song. The version I`m using has no pedal markings so I`m guessing Chopin meant for players not to use it, but when I play it, it sounds very choppy, especially in measures 9, 12, 13, and 14 where the left hand drops down low.

My copy of the score has pedal marks all over it, and the specific long arpeggios you mention are played with the pedal depressed. I can't remember where I got the score, but it was either www.sheetmusicarchive.net or www.imslp.org/wiki/Main_Page (IMSLP has EVERYTHING).

IMSLP does have everything (well, almost). Chopin most certainly would have intended the pedal to be used in almost all of his pieces, especially the Preludes.