@August07 If you do not have a multimeter, buy one, but more invaluable and most simple tool you need, is a simple circuit tester.
which is basically 2 wires with a light bulb in between.
also, I did mention measure the feed at the coil. that the battery is ok is nice to know, but what matters is if there is voltage at the coil. During cranking, the column switch uses another connection/line. And if the starter turns, car starts, this means that your ignition works fine. however when you let the key go, so key is now in "ON" mode, the circuit at the switch is not the same. As said a frequent issue is that there is no voltage at all. as a result the car dies immediately after starting fine right before you let the key go.
As you are new to this. You also need to decompose what you see. first to be able to locate a problem, second, to describe to others the problems. For instance, you say it needs time to start. ok, but for instance, was it hard to start the first time you tried or did it become a problem after a few tries. ie. if you start/stop and pump, you start to have quite a lot of cold fuel into the intake and it becomes hard to start but is not related to the issue.
Once you have determined that the coil does receive 12v at the plus with key on on position( or bridge a wire from the battery plus directly to the coli + and try to start). Then you can remove this from the equation and as suggested above, go to next step that is fuel delivery/carb.