Long story short, recently got a slim PS4 (already have the OG that came free with the to) to put in the bedroom so I can game if the wife is using the lounge.

I know I can use my psn account on the new one, but what I want to know is whether I can play a game (say horizon zero dawn etc) in the lounge, and the next night play in the bedroom using the same game save?
Do I need to have a PlayStation plus account to do so?
Thanks