Almost every egyptian player fast heroics. (8 min or so)to have access to migdol units and seige.
Most players will go either chariot archers or elephants + seige. The charoit archers make great raiders.
Most players will take another tc as soon as you hit heroic too. Some will do the tc then the migdol and some will do the migdol then the tc, depending on map and enemy.
Isis stands out as the best mostly due to ancestors + ecliplse to use if needed and the fact that only with prosperity can you be assured you will have enough gold for both a migdol and a tc right away.....assumming you didnt boom and did a fh.
Ras rain comes in almost as handy but if its a high hunting map its a shame to have to build farms so soon. But its a double wammy cause it helps the enemy 2x vs your 3x so you have to use it early.
A mix of migdol units and barracks units is often used too. Spears and Chariot archers, Axemen and chariot archers, depending what you need to counter.
Egyptian axemen are better than most people think cause they have a 4x multiplier vs other infantry
And one tidbit most dont know is that egyptian fishing ships can build docks.
And then there is staying in classical and booming. Just take two more tcs as soon as you hit classical age and boom your econ. Your outmassing of classical units will hold em off decently till you can go on the offensive.