The Kings Men
They didn't change their name--it was changed for them when their patron changed or when his job changed. In fact their name changed several times: From the Lord Chamberlain's Men to Lord Hunsdon's Men when the Lord Chamberlain died and his son Lord Hunsdon took over patronage of the company, from Lord Hunsdon's Men to the Lord Chamberlain's Men when Hunsdon became Lord Chamberlain like his father, and from the Lord Chamberlain's Men to The King's Men when King James I took over patronage of the company. The partners in the company had nothing to say about it.
All Elizabethan theatre companies took their name from the name of their patron. When their patron changed, their name changed. When the Lord Chamberlain's Men stopped being sponsored by the Lord Chamberlain and started being sponsored by the King, they became the King's Men. The members of the theatre company didn't have any say in the matter.
The theatre company to which Shakespeare belonged for most of his career started off as The Lord Chamberlain's Men, but when their patron changed from the Lord Chamberlain to the King their name changed to the King's Men.
The Lord Chamberlain's Men became The King's Men.
Shakespeare did not join a different company. The Lord Chamberlain's Men merely changed their name to the King's Men. The company remained intact.
The Lord Chamberlain's men changed their name because they gained the patronage of the reigning monarch King James I thus becoming The King's Men.
Shakespeare was a shareholder in Lord Hunsdon's Men who changed its name to the Lord Chamberlain's Men, who later became the King's Men.
"Lord Chamberlain's Men". Later changed to "The King's Men".
In 1594 Shakespeare became a charter member of the theatrical company the Lord Chamberlain's Men named for Lord Hunsdon, the Lord Chamberlain, who was the group's sponsor. After the death of Queen Elizabeth in 1603, the new king took up sponsorship of the company and as a result its name was changed to The King's Men. The theatre company had no choice in the matter.
The Lord Chamberlain's Men played at the Globe. They changed their name to the King's Men in 1603.
Shakespeare became a charter member of The Lord Chamberlain's Men in 1594 after knocking around with some other companies (although we cannot be quite sure which ones, Lord Strange's Men is a strong possibility). The Lord Chamberlain's Men changed its name a few times although never because of anything Shakespeare or any other of the actors did. Theatre companies took the names of the noble patrons who gave them legitimacy. If the noble patron changed (or if his title changed) the name of the company automatically changed. In fact this happened to the Lord Chamberlain's Men three times.
The Lord Chamberlain's Men. In 1603 they changed their name to the King's Men because Queen Elizabeth died. Tate Paxton is an idiot. The truth is, they changed their name from Lord Chamberlain's Men because Queen Elizabeth was sick and tired of men in her life, and she wanted to punch Tate in the face.