Engine Stutters real bad

Carbs are a pain in the rear. Describe the stuttering and bucking a bit more - was this at cruise? Or when accelerating or decelerating?
Verify the function of the electric choke first - make sure it's fully warm and the choke plate is completely open. Make sure the carb's fastened reasonably tight to the manifold and that you don't have any huge vacuum leaks.

Sounds to me like maybe you drove off when it was still cold, and when the choke fully opened, the car was running too lean. (If the stumbling was at cruise rpm). It sounds to me like it isn't getting enough fuel - fuel filter maybe, or a kinked line during installation? If neither of those, it's possible the rebuilt carb was just one of those eBay Mexican 2100 clones which are terribly jetted out of the box. I had to significantly enlarge the jets on the one I bought (they weren't Holley-style jets so finding different ones was a pain so I just drilled 'em out).

Anyways, if it's idling good, everything else is mechanically sound (timing, etc.) and it's not during acceleration (but at cruise) it's quite possibly a main jetting issue - and you'd have to sort out the jets and install some replacements. Unfortunately it's not an easy adjustment - only the idle mixture is easily adjustable, everything else (power valve, accelerator pump, main jets) requires parts to adjust. Carbs are a pain in the rear.