Unfortunately by your description your drive ability concern may be caused by a number of faults. One to consider is your alternator of idle air control valve may be failing. Worth a check out by your local mechanic.
〉 Answered on Jan 11th, 2014 by Amanda J. Pierce, MBA "AJ", Certified Mechanic, Project Coordinator; Primavera Scheduler at VIGOR Alaska Industrial Shipyard & BizzM3ch Solutions
I would have the charging system (alternator) inspected, and/or the cooling system. Some GM's shut off prior to overheating.
〉 Answered on Jan 11th, 2014 by Gelina Aquilina, Service Advisor / Mechanic at
There are many possibilities for this drivability issue. It could be a charging system issue, a fuel delivery issue, or an ignition issue. Your best bet is to have this one diagnosed by a trained technician.
〉 Answered on Jan 11th, 2014 by Helaine Kurot, Owner/Technician at 360 Automotive
Hi Larry, On your 2000 Suburban, There may be a fuel problem. I would recommend having the fuel pump pressure checked first. I don't recommend driving a vehicle that shuts off and is hard to start. It could be dangerous. Good luck.
〉 Answered on Jan 11th, 2014 by Maryann Croce, Owner at Croce’s Transmission Specialists