Welcome to BCF. Many possible causes of sputter/miss on acceleration:
I'd check (1) fuel flow and fuel levels in carb bowls, (2) crud/sediment in fuel filter(s), (3) ignition (spark plug gap, timing, failing coil and/or condenser, (4) distributor rotor and wires.
How long have you had the car? When did the problem first start? Any changes made just before the problem started?
Tom M.