The cheapest way is the Piccadilly Line, hands down. It’s ugly, it’s noisy, and you might get emotionally attached to a stranger’s elbow. But it costs peanuts.
If you hate crowds, spring for the Elizabeth Line or a pre-booked coach. If you love adventure and hate money, take the bus. You’ll get there. Eventually.
So, grab your Oyster card or your contactless phone. Ignore the fancy taxi ads. Embrace the budget life. Heathrow is waiting, and you’ll still have cash left for an overpriced airport croissant.