Off the top of my head, the two main spots are the left side of the closet door in the bedroom and just to the right of the stove in the kitchen. The main way to get stuck seems to be standing within a couple of steps from them and using items - once the item dialogue finishes, I can't move from the spot, Escape doesn't work, etc.
Not sure if the thing with the save is a separate issue - I'm pretty sure I didn't save after getting stuck in the kitchen, but when I load that save it's in the stuck state.