R12 is no longer legal to manufacture, current stocks of R12 are still legal for sale. Its illegal to release refrigerant into the air, it must be sent to a recycling facility, and R12, as well R134a, is an extremely stable chemical that last for many many years and will NOT breakdown. So R12 will be available for years, the current stockpile being recycled as much as possible.
R12 should become more expensive as stock eventually depletes, i.e. supply falls behind demand. BUT, the last R12 vehicles have pretty much reached the end of their lives and have started to head to the junkyard. So the shrinking demand may have come in line with the shrinking supply and the price has come down.
R-134a is slightly less effective than R12, but the important factor is, R-134a condenses at a higher pressure/temperature and evaporates at a lower pressure/temp. This means a R-134a system needs a bigger condenser with more air flow, a slightly stronger compressor and a smaller evaporator compared to an R-12 system.
That is why conversions often don't work as well, the R-12 system has too small a condenser to effectively condense the R-134a and the pump being slightly weaker than needed only makes things worse in this case.
Some vehicles had overkill R-12 systems, bigger condensers and compressors than really needed, these do make for great conversions and work very well with R-134a. Ford Big RWD cars and many Pick-Up trucks come to mind as R-134a conversion working well, because they had these features in their R-12 systems. There info website somewhere on the web, that people have documented how well the R-134a conversions go, thus you can look up your vehicle and see what are the likely results of converting to R-134a. Do a google search.
Also throw in problems with compatibility with different oils and refrigerants, high pressures and smaller R-134a molecues causing leaks from diffusion, if I was a Professional Garage, I wouldn't do the conversion either. Just too many things to go wrong and have to re-do the work.
Like recommended, I would look into R-12 before doing the conversion, your way more likely to have less trouble and probably less cost with R-12 in a R-12 system than converting to R-134a.
I converted an old Mini-Van to R-134a, wish I had looked up the table and saw what kind of candidate this vehicle was for conversion, its a poor one. It easily cost me far more to do the conversion, and fixing the resulting problems then it would have to just pay for the R-12 servicing at the time (1999, when R12 was still in pretty high demand). The AC barely ran cool after the conversion, it was about worthless.