The theme tune to Moody and Pegg was a library track known as "The Free Life" by Alan Parker. However, for a generation of UK schoolchildren, it's perhaps more known as the theme tune to My World (1969).
The building where Roland Moody pulls up outside in his car when he goes to move into his new flat is Hurlingham Court Ranelagh Gardens, London SW6 3UL near Putney Bridge underground station.