If that fridge really is so old that it uses real freon, R-12, then the
price of R-12 should not be so scary. It "should" be available at $50-75 per pound, although techs will claim that is $200 per pound simply because you can't shop around for it. And since R-12 has been obsoleted for 15? 20? 30? years now, there are very few techs who bother keeping the
equipment that is required to
work with it, and recover it. (Each gas type needs a separate set of
equipment, kaching!) So finding someone to
work with R-12 can be costly and difficult.
If it is NOT R-12...a Schraeder valve won't do, each gas type pretty much uses a different valve type, so you don't fill with the wrong. Details count!
And of course a
DIY repair will require pulling a hard vacuum in the system before refilling it, considering the
price of a vacuum
pump it becomes worth considering hiring the job out (IF you can find a good tech) or sadly, replacing a system.
With "AC" systems, there's more than one devil in the details.
On the bright side...a freon leak won't tear your flesh up, the way an old ammonia-based
refrigeration system would.