Assuming the thermostat, water pump and pipes are all on order & functioning correctly, try this....
Put everything back together & put a funnel into the overflow pipe that normally runs into the top of the radiator from the expansion tank. Top up with the requisite mix of antifreeze & distilled water and stand by with a jug of pre-mixed antifreeze/distilled water. Tie the funnel to the open bonnet at a point higher than any part of the cooling system so that you can easily top up the funnel. Start up the car and run it until the engine runs on tick-over without the choke, which is the best indication that the engine's reached its operating temperature. Ensure the heater controls are set to hot & that the fan, if fitted, is switched on, directing heat to the windscreen. Slide the driver's window open, so you can easily check for warm air from the vents. Check that the radiator top & bottom hoses are hot, indicating that the water is circulating through the radiator. Now, from within the engine bay, operate the throttle & increase the engine's revs and watch for bubbles and any drop in the level of water in the funnel, which indicates air being released from the pipes. This could take anything up to 15 minutes of revving, topping up, massaging the pipes and putting one's hand on the screen heater vent to feel for warmth.
Once you're satisfied that no further air bubbles are coming up from within the engine, if there is STILL no heat from the heater, connect the overflow pipe from the radiator to the expansion tank (as it should be when the car's running normally) fill the expansion tank to the correct level, drop the bonnet & go for a long drive over a decent distance. This will allow the cooling system to become pressurised & should force water through to the heater matrix and push any residual airlocks through to the expansion tank.
Believe me, these problems can take AGES to fix. More advice by phone if you PM me.
If you're reading this in Southwold, I recommend a pint (or 4!) of Adnam's "Broadside" bitter, while thinking what to do next. Happy memories of the town & surrounding area.....