If most of the big moves for the Kings are to come during the summer, then I would guess that means the likes of Carter, Phaneuf, Quick are nearing the end of their tenure with the Kings. Who knows what they'll decide to do with Martinez and Kovalchuk, but I could see them being back with the team next season.
I could see playoff teams trying to find another Michal Kempny like addition and may target Oscar Fantenberg, who is due to beecome a UFA.
Next summer, the Kings will have the following players entering the final year of their contracts who will become UFAs in 2020:
Toffoli, Lewis, Clifford, Forbort LaDue, Campbell
It's safe to assume the Kings will be quite busy this summer and have a laundry list of decisions to make going forward.
Also forgot to mention, they'll also have a coaching decision to make as well, which likely could lead to an overhaul of the coaching staff (save for Bill Ranford, and maybe Marco Sturm).