Car sputters
I always start with the cheapest things first for troublshooting.
Change the rubber parts - this is the most common problem with these old cars. Happened to me several times on several different cars.
then change the gas filter (I had a car stall because I never changed it and it was all gummed up with gunk!)
Clean carb/ check choke... Look for vacuum leaks..
if still no.. then try to rebuild the carb.
work your way up from there.
Hope it helps