Good morning Charles;
I use a hdmi splitter, too. Here's my set up. 8 year old 70 inch Vizio tv on the wall. Total 4 hdmi ports. 2 in the center behind the tv.It makes it painful if you ever have issues. Those tvs are too bulky to lift for one person.
hdmi cable from Joey (which is located behind that wall), hdmi cable from bluray player and tv's power cord come thru a hole. The wife didn't want to see exposed cables and equipment under big tv. Fortunately, the remaining 2 hdmi ports are located on the left side of the tv. They are easily reachable. the top port is for Amazon stick. I had only one hdmi port left. I ended up using an hdmi splitter. So, this splitter is connected to bottom hdmi port via hdmi cable. The splitter has 3 input ports on the other end. I have a Roku stick on one. My very old laptop (instead of recycling I kept it to watch mp4,vob movie files I have on an external hard drive) is connected to the second input, and the third input port is available if there is a need in the future.
Whenever I want to watch a bluray/dvd disk, Amazon prime, roku or a movie file from external hard drive I change the hdmi setting with tv's remote. Since I renamed them it is very easy to pick whichever input I want.
The terminology (splitter vs switch) confused me yesterday. two different purposes.