Southeastern operates a train from Covent Garden to Blackheath Station every 20 minutes. Tickets cost $7 - $11 and the journey takes 20 min. Alternatively, London Buses operates a bus from Covent Garden to Blackheath Station hourly. Tickets cost $3 and the journey takes 41 min.
From London Charing Cross train to Blackheath. 20 min £6. From Covent Garden, Southampton St Covent Garden bus to Blackheath, Royal Parade (SE3). 41 min £2. From Covent Garden taxi to Blackheath Station. 18 min £35. From Covent Garden drive to Blackheath Station. 18 min £1. From Covent Garden Uber to Blackheath Station. 18 min £22.