Southeastern operates a train from London to Thamesmead every 30 minutes. Tickets cost $10 - $15 and the journey takes 34 min. Alternatively, London Buses operates a bus from London to Thamesmead hourly. Tickets cost $3 and the journey takes 39 min.
From London Charing Cross train to Abbey Wood (London). 34 min £9. From Bermondsey, Galleywall Road South Bermondsey Stn bus to Thamesmead South, Newacres Library. 39 min £2. From London taxi to Thamesmead. 28 min £61. From London drive to Thamesmead. 28 min £2. From London Uber to Thamesmead. 28 min £30. From London walk to Thamesmead. 3 h 51 min.