Jaycar has a range of these, $20 to $150 roughly. There are a couple in the $40 to $80 range of 3 or 4 way, are there any gotchas with an HDMI Switcher? As in they are all the same and just work, aside from featureset differences? They seem to have a switch and maybe a remote and maybe auto switch
This one seems quite good
https://www.jaycar.co.nz/3-way-hdmi-2-0-switcher-with-remote/p/AC1760
The 3 ways will be used for WDTV Live, Apple TV4, Chromecast Ultra, the latter two will be switched frequently
I guess the only issue of concern is if some have audio sync issues