I'm thinking of picking up an HDMI source selector...?

Question

Is there also a selector that has component/composite hook-ups on it?

Answer 1

It may be a bit of a stretch to have composite, component and HDMI, but any 2 should be relatively easy.

That said, there is a very wide range of A/V switch boxes. Since you know what you are looking for see the link for one possible component and HDMI switch ... they are not inexpensive.

See elsewhere on this site for other options, and also try the second link as well.