A few thoughts:
1) Most teleconverters are designed for long focal length lenses, typically those over 200mm in focal length. This is important to consider because most of those longer lenses often have a gap at the back of the lens, so the rear element isn't flush with the base of the lens. This leaves a slot which a teleconveter fits into with the front element, which often protrudes.
This means that, at a physical level, many lenses cannot be fitted to teleconverters. Kenko Pro teleconverters have about the flattest front, though I think there is still a modest rise.
2) A teleconverter will take away 1 stop of light in aperture; it will take away some image quality and it will slow AF. However it will also provide a greater resolution and detail than cropping and enlarging will typically produce. So a teleconverter is better than cropping, in most situations.
A 1.4tC has the least amount of loss and in many cases the image degradation is not noticeable in edited photos for display.
a 2*TC however has the greatest amount of loss and the image quality drop is noticeable. As a result this kind of teleconverter typically only gets used on top end lenses such as 300mm f2.8.
3) Price - a $60 teleconverter doesn't sound like its a high end or good quality teleconverter. Granted it could be a legacy lens (ergo still good quality but just a lot older); but in general most teleconverters of worth are typically a lot more in cost.
A low end teleconverter is, of course, going to have even more impact to the overall image quality so you might find that degradation too great for you uses.
Personally I'd advise waiting and saving up for a longer focal length lens that will do what you want without compromise.