Jury duty is a wonderful thing

I also remember them saying that attorneys normally don't pick other attorneys or physicians to be jurors. Why is that?

Like st dude said, the main reason is that the other jurors are likely to defer to an attorney (as a legal expert) or a doctor (particularly in an injury case involving medical evidence and testimony from other doctors) so that single juror would almost singlehandedly decide the whole case. A trial lawyer is also possibly biased toward either the plaintiff/prosecution or defense side based on the nature of their own practice.