The number X26 bus goes to Croydon from Heathrow Central Bus Station every 30 minutes. Please note you cannot pay cash on this service. You need an Oyster Card or Travelcard available from Heathrow Underground Station or the Transport For London sales points in the terminal buildings

www.tfl.gov.uk

Either:

- X26 direct bus - but it is quite slow and gets crowded. It does not serve terminals 4 & 5.

- bus 285 (or 490 from terminals 4 & 5) to Feltham, train to Clapham Junction, another train to Croydon (either East Croydon or West Croydon stations as suits you).

- Picadilly line Underground to Earls Court, District Line one stop to West Brompton, train to East Croydon.

TFL Website

Yes, do that.