My KitchenAid dishwasher door (KUDS24SE) suddenly is very heavy and I am reasonably sure the springs have broken. Is this something I can replace myself?

Easy repair if you can get spring. Disconnect water and (maybe) electric. Should have a couple of screws attaching dishwasher to bottom of counter top edge. Remove and pull dishwasher out about a foot. Springs are accessible on sides. If spring is indeed broken check local Freecycle listing for old dishwasher.