No.
When Shakespeare retired he left London and returned to his home in Stratford.
He moved to London in the 1580s
Yes. William Shakespeare was born in the lovely little market town of Stratford -on-Avon in the centre of England. He moved 150 miles to work and live in London. After he retired he moved back to Stratford.
He had two homes: Stratford, which was his home town and where all of his family lived, and London, which was where he worked and where all his business associates were. His primary residence was in Stratford until he was in his mid-twenties, and then he moved to London to work in the theatre business. He stayed in boarding houses and the like until he was 49, at which time he retired and moved back to Stratford until his death three years later. However, even when he lived in London, he was also concerned with his Stratford home, buying an expensive new house for his family when he was 34. And the reverse was true--on the eve of retiring, he bought a new house in London.
he joined a acting group and went to london.
He grew up in Stratford and moved to London.
He became famous after he had moved to London.
He had no accomodation in London for a wife and children. However, his brother Edmund did follow in his footsteps and became an actor and moved to London.
That is true.
To find work. He was twenty years old, with a wife and three children and no skills that were marketable in Stratford. London offered better prospects.
We presume that Shakespeare did not start writing plays until after he moved to London to make a living in the entertainment world.
We don't know exactly when Shakespeare moved to London, but it was between 1585 (when he was 21) and 1592 (when he was 28).