Google routed me to Paddington (via Bakerloo) and then the Heathrow Express. I was probably lucky with departure times when I searched though. (Heathrow Expres

Google routed me to Paddington (via Bakerloo) and then the Heathrow Express. I was probably lucky with departure times when I searched though. (Heathrow Express is expensive compared to the Underground though, but if you were making this sort of map you'd probably use it as it's the faster service).