Tyson's home and pet shop are both on Broad, but not the same street. His Pet Shop is on (Old) Broad Street whereas his house is on Broad Lane. Tyson finds that symmetry comforting and has the money to waste on having that comfort.
Tyson generally refers to the shop as being on Broad Street because - amongst a large number of people who live in or around that area in London - Old Broad Street is just called Broad Street, whereas New Broad Street was called New Broad Street. He chose the empty store lot on that street to make his store because of how convenient it is. It's only a few building away from his butcher, Jeremy. The shop is on the corner where Throgmorton Street joins it.
Tyson lives where he lives because he has dogs and Broad Lane is in the perfect location to take the dogs to the parks, he is surrounded by them. In his main universe, Tyson was gifted this apartment by the Moriarty Mirrors as a gift. It was a former safe house of theirs and a place where Tyson would be comfortable and safe, somewhere to convince him to stay with them; that he was 'at home' with them. This apartment's close proximity to Heathrow also made it a valuable safe house and useful position to keep one of the Moriarty Mirrors' pets.
Tyson generally refers to the shop as being on Broad Street because - amongst a large number of people who live in or around that area in London - Old Broad Street is just called Broad Street, whereas New Broad Street was called New Broad Street. He chose the empty store lot on that street to make his store because of how convenient it is. It's only a few building away from his butcher, Jeremy. The shop is on the corner where Throgmorton Street joins it.
