Before i buy a new Ps4

Borderlands is my favorite series and I want to play with my two kids. My question is, can i play split screen on one ps4 and have my son join us for a 3 player game all in the same house on a different ps4?

From what I understand, yes. If the second PS4 player has a different psnid, he/she can host the game, as split screen takes up too much resources to host the game.