How dangerous are my cat's tapeworms to us?

My cat keeps getting tapeworms, because I haven’t yet bombed my apartment to kill all of the fleas. I have been treating them with pills, but right now I have $3 to my name and cannot afford a pill. Problem is, I have a two month old baby. Other than the worms being generally yucky, can me or my baby have any side effects to coming in contact with them, until I can get the problem resolved?