I'm in a social circle chock full of people who a) never shut up or even end sentences, they only pause on 'and' to think of what's next, and b) constantly try to share interesting stories and personal info (really 'opening up', hippie style) so it feels rude to interject.

How can I deal with these people and politely bring up my own stuff, especially if my own interests are not at all related to theirs?