Did the squealing start immediately after the wash, or did it take a day or two? Either way, you're almost certainly looking at moisture trapped in the brake system - water gets into the caliper area and creates that high-pitched noise until it evaporates. Since your brakes are stopping normally with no pulling or grinding sounds, the pads themselves are fine. The squealing should disappear on its own within a few days as things dry out, especially if you drive regularly. If it persists beyond a week or gets worse, then you'd want to have it checked, but right now this is just an annoying side effect of the wash, not a safety issue.