Bring a gift if visiting a family home, and take your shoes off on arrival.
If invited to a wedding be aware that you're expected to pay (in a gift envelope on arrival) a sum that varies with the venue but is rarely less than AZN100 per person.
If talking about possible future plans, adding the proviso insh'Allah (God willing) is sensitive and can win you respect.
If sitting on a full bus and an older person gets aboard, younger passengers normally give up their seats without comment. Men will often stand for women too. The exact hierarchy of who stands when is quite complex. Don't expect to be thanked.