The Lyric Hammersmith is very well located for public transport. It is a two minute walk to the theatre at buggy pace from both Hammersmith tube stations, served by the District, Piccadilly, Circle and Hammersmith & City lines. Both stations are accessible and have lifts. Hammersmith is in oyster card zone 2.
If you're travelling by bus, Hammersmith bus station is right outside the tube station, a few minutes' walk away.