1996 Chevy Blazer ABS, Brake, & check engine lights

When I accelerate after braking, sometimes, my ABS light, Brake light. And check engine light will all 3 come on. The blazer then misses and sputters briefly until it recovers and then it's fine until 1/2 mile later or 10 miles later when it does it again. It is particularly pronounced when accelerating for a climb up a steep grade or taking off after pulling out of a driveway or something. Any assistance would be greatly appreciated. My Auto tech ran the scan tool and the only thing showing was the ignition switch which she replaced. Still having the problem (but it starts better now)!