Sure. The same. Nope. Can defer anything, I'd guess. Defer the opening til after this virus thing blows over. Defer marking this resolved till you get a few answers to see if all agree or maybe to get an idea of the spread of usage of the word.

Thank you very much! That's great! Then what if I change the tense? Such as, I'll defer moving out for a year. / I decided to defer moving out for a year. (Do they imply that I decided to move out a year later?)

To me, "defer" sounds like you made a choice a year ago to move out when you did. So a year ago, you decided that you'd move out now. "Delay" kind of seems like there was some external reason you were moving out, that you were able to successfully fight for a year. Maybe your landlord was trying to kick you out, but you were able to fight it in court for a year. "Put off" kind of sounds like you know you should have moved out a year ago, but for some reason you didn't. Maybe your own inaction, maybe you had other things going on in life. These are all shades of meaning, though, and are just my own thoughts. I think they all have the same literal meaning.