K-mount teleconverters effectively come in three or four versions.
1. The most basic. Will have a mechanical aperture linkage but no contacts to feed back aperture information to the camera body. How important this is will depend on which body you're using. If your camera doesn't have any contacts on the lens mount then one of these will be fine. Tamron made a good quality 2x like this.
2. As above, but with six electrical contacts to feed back aperture information, but still no a/f capability. Available from several brands.
3. As 2, but with seven electrical contacts and mechanical a/f "screw-drive" coupling.
4. As 3, but also with the two power contacts in the throat to support power zoom and in-lens focus motors.
Provisos :-
Some teleconverters were dedicated to just one, or a specific range of lenses. Sigma and Vivitar did this, maybe others as well.
Some lenses have a rear element that simply protrudes too far and can foul the teleconverter. This could get expensive if you're not careful!
Most focus confirmation indicators, be they electronic, as on a more modern camera, or purely optical, as with a split-image or micro-prism, will struggle at apertures less than f/5.6. This means that any lens smaller than f/2.8, when fitted with a 2x adaptor (making it effectively less than f/5.6) will be difficult to focus except with a high-contrast subject in good light. Here you'll probably need to revert to focussing on the ground glass … a viewfinder magnifier can prove beneficial
I think that covers most points … any further detail, please ask
