equipment recommendation - How do I choose a teleconverter for my Tamron 70-200 f2.8 and Canon camera?

I have Canon EOS 650D and Tamron 70-200 f2.8 lens.

I would like to buy a teleconverter (1.4x or 2.0x) to increase the zoom, e.g., for shooting wildlife and the moon.

I took a look at several articles and understand that different pairings of lens-and-converter give different image quality.

So, how do I select a teleconverter?