What to look for in an alignment shop?

Now that all of my suspension has been swapped out, ride height has been established, I'm finally about to get my Dart aligned with an emphasis on handling performance on radials...and I'm very hesitant to let just anyone do the job.

No, I don't plan on doing the job myself for a myriad of reasons, not the least of which is that I just want to have it done on precision equipment and to just be able to forget about it until my next suspension/tire change.

At one time, any grease monkey was qualified to align a simple little car like an A-Body, at least as far as anyone cared about precise alignment specs. If they compensated for the crown of the road, you were lucky. These days, it's hard to be so sure that the local quick lube/alignment shop will care enough to do it right or not break something. Most of these guys probably haven't seen anything older or more exotic than a 1990s Camry.

How did you find your alignment shop?