Some people will tell you that you can't get an older carbed engine to start as well or better then a EFI engine, but this is just not true. A starter is a good idea, and I would check Ebay for a mini high torque start. You have already changed the coil and swapped the points out to a solid state, so next would be to get new wires, plugs, cap, and rotor(check and make sure you are getting a bright blue spark at the plug when you're done). Check timing and set it to 10 degrees BTDC if it's not, do a compression test and make sure you go proper cylinder PSI, and check for vacumm leaks on the engine and carb. Now, the most important is the carb. It may be hard to believe, but a carb is even harder then EFI to get to function properley. However, it can be done, but before we even start to go down this road, I need to know more about the carb.
-Shaun