I use a couple of the below to switch between 15 Sony BDP-CX7000ES 400-disc Blu-ray Players and a Sony BDP-S5000ES Blu-ray Player.

IOGEAR 4K 8-Port Switcher with HDMI (GHSW8481)

Well, I use the 1080p version of the switch. Still haven't gone 4K yet. Control the switches via the RS-232 port. (There are RS-232 commands to disable any form of auto-switching.)

Recommend these switches highly. I've owned mine for many years now. They've performed flawlessly to date. Very affordable as well.