In the 35 years I flew G-BCSL we often hand swung it either because the starter / battery was U/S (a frequent occurrence) or just to preserve battery life especially if it was a cold start.
Once one learned what the engine needs, it was easy. Prime by pulling the ring that allows fuel into the inlet manifold, pump the fuel pump lever up and down listening for the 'clack clack' of the non return valves in the fuel lines (the tanks are downhill of the engine in the tail-down attitude). When fuel trickles from the manifold drain onto the apron, stop pumping and wait for the dribble to stop.
Throttle closed and mags off, suck in (pull it though 4 compressions checking for good compression, and listening for the click of the impulse mag). No click, no start. If that's the case, clout the impulse mag with a block of wood or suchlike, and pull it through again whereupon you should hear the click.
Observing normal procedures, safety checks etc, call for 'THROTTLE SET. CONTACT'. On getting the cockpit occupants 'thumbs down' replaced by a 'thumbs up', swing the prop in approved manner. It will start. Usually.
If it doesn't, swing it again ('OFF' if you need to re-position the prop).
If it hasn't started after 4 or 5 goes, call for 'OFF. THROTTLE WIDE OPEN' and pull through backwards several blades to clear the accumulated fuel in the cylinders. You should be able to smell this. Then 'THROTTLE SET. CONTACT' and swing again. It will start If not, re-prime and start again.