I would tend to think that if you were to take it to that shop they'd be throwing parts at it, charging you, and then scratching their heads when it didn't solve the problem.
You might be better of taking it where they'll actually diagnose it first, determine what the actual cause is, and then do a repair. There are a lot of things that can turn the ABS/TC lights on. Are they both on or just the one?
I'm no tech, but here's a list of things I'd be checking, not necessarily in this order:
1. Wheel sensor wiring at each hub — chafed? damaged?
2. Wheel sensor harness connectors at each hub — corroded? fully engaged?
3. ABS wiring near steering shaft — chafed?
4. ABS plug at module — fully inserted? corroded terminals? damaged/melted?
5. Brake fluid — filled?
6. TC switch — corroded terminals at plug? fully inserted? bad contacts? RFI/EMI?
7. BCM — corroded terminals? fretting? fully inserted?
8. Ignition switch — common issue on those models
There may be other things to check but that's where I'd start and be looking around for other possible clues. I hope you figure it out. Please post if/when you do!