I can't say what it would cost to have a shop take care of it, but it would probably be $1500-2000 since doing it "by the book" may have them include a new evaporator (which involves removing the dash), new condenser, new lines, new compressor, new accumulator, and the evac/recharge. It'd take a couple days plus parts.
I had no A/C experience at all either when I tackled this job back in 2008/2009. It's not bad, but it does require patience and care.
The main issue is the compressor shredded itself internally and metal shavings now contaminate the system. Gotta get all that crap outta there otherwise it'll just kill the new compressor.
I just bought a flush gun and used a gallon of lacquer thinner and flush solvent to flush the heat exchangers. You're not supposed to flush the condenser but I took a gamble, forward/reverse flushed mine several times until I stopped getting material out of it. Flushing the evaporator was much less challenging and isn't recommended either, but is much more cleanable than the condenser.
With a 97 they changed the condenser line fittings; you can't flush the muffler in the compressor discharge line, so either you need to convert the condenser and lines to the 94-96 style or get the discharge line from a car that had working A/C. In 2009 it was way easier to do that than it is now, so I recommend just swapping to the 96 style parts. Flush the other lines and evaporator, new orifice tube/compressor/accumulator, new O-rings (use Nylog blue if you can get it to seal instead of PAG oil), an evac/recharge and you should be good to go. I'd also suggest getting a vacuum pump/gauge set. It will pay for itself the first time you go to use it considering the cost of having a shop do the work.