Can you help me find an hdmi + audio switch?

Question

Electronics

I just can’t make friends with Google about what I’m looking for, because I don’t know what it’s called.
You need a piece of hardware: 2 hdmi inputs, 2 audio inputs (preferably mini-jack 3.5 mm), 1 hdmi output and 2 audio outputs. On a piece of iron should be separately: the choice of one of the hdmi inputs and the choice of audio inputs with the possibility of mixing both.
What is it called other than an A/V receiver? (receivers have too many features and they are expensive) Is it really possible to find one for cheap?

Answer 1

At one time, I took an inexpensive used Pioneer entry-level receiver for a similar purpose.