Conversation so far:
Why did the Bee Gees move?
At Eric Clapton's suggestion, the brothers moved to Miami, Florida, early in 1975 to record at Criteria Studios.
What did the Bee Gees start with?
The Bee Gees started off with ballads.
What did starting off with ballads at Criteria Studios lead the Bee Gees to?
They eventually crafted more dance-oriented disco songs.
What did the Bee Gees try after crafting more dance-oriented songs?
The Bee Gees appeared on The Midnight Special in 1975, to promote Main Course, they sang To Love Somebody with Helen Reddy.
What was the Bee Gees next trial following their appearance on The Midnight Special?
The next album, Children of the World, released in September 1976, was filled with Barry's new-found falsetto and Weaver's synthesizer disco licks.
What did the Bee Gees' album Children of the World lead to?
The first single from the album was You Should Be Dancing, which pushed the Bee Gees to a level of stardom they had not previously achieved in the US.

Question: What was their next chance?
Self-contained rewrite: What was the Bee Gees next chance?