Conversation so far:
What was the Count Basie's big break?
Back in Harlem in 1925, Basie gained his first steady job at Leroy's, a place known for its piano players and its cutting contests.
Did Count Basie's first steady job at Leroy's lead to other opportunities?
He met Fats Waller, who was playing organ at the Lincoln Theater accompanying silent movies, and Waller taught him how to play that instrument.
Whose parties did the Count Basie play at?
Willie the Lion Smith helped Basie out during the lean times by arranging gigs at house-rent parties, introducing him to other leading musicians, and teaching him some piano technique.
After the house-rent parties, what did the Count Basie do for work?
In 1928, Basie was in Tulsa and heard Walter Page and his Famous Blue Devils, one of the first big bands, which featured Jimmy Rushing on vocals.
Did Count Basie get involved with Walter Page and his Famous Blue Devils band?
A few months later, he was invited to join the band, which played mostly in Texas and Oklahoma.
Did Count Basie stay in Texas/Oklahoma, or did he go elsewhere, to work?
The following year, in 1929, Basie became the pianist with the Bennie Moten band based in Kansas City.

Question: Who else did Basie tour with?
Self-contained rewrite: Who else did Count Basie tour with after becoming the pianist with the Bennie Moten band in 1929?