Before Bucks Fizz she had previously represented the UK at the 1978 Eurovision Song Contest as a member of the band Co-Co. Their song, "The Bad Old Days" managed 11th place in the contest in Paris and became a UK hit single reaching #13.
In the mid-1980s, while still with the Bucks Fizz, Baker embarked on a career in television presenting. She joined Record Breakers as a co-host alongside the long-serving Roy Castle in 1987, continuing alongside new hosts after Castle's death in 1994, finally leaving the show in 1997 after 10 years.
She also co-presented The Saturday Picture Show with Mark Curry from 1985 to 1986.
She continued her singing and television careers in tandem, although always maintained that singing was her first love. Bucks Fizz scored their final hit in 1988, and in the same year, Baker began presenting her own TV show Eggs 'n' Baker. This went on to run for five years.
During this time, she also released two solo singles "If Paradise Is Half As Nice" in 1987 and "Sensuality" in 1992.
Still touring with the group, Baker finally quit Bucks Fizz in December 1993 to concentrate on raising a family. After leaving Bucks Fizz, Baker carried on presenting Record Breakers as well as other television work.
Into the 2000s, Baker made many guest appearances on television. She has also participated in a number of reality television shows, such as Drop the Celebrity (which she won), 24-Hour Quiz (which she also won), Popstar To Operastar (she came second) and Dancing On Ice.
In 2004, she began performing alongside Shelley Preston and fellow original Bucks Fizz member Mike Nolan as The Original Bucks Fizz. Preston was replaced by original Bucks Fizz member Jay Aston in 2009. Due to a legal dispute in 2011, the group renamed themselves Cheryl, Mike and Jay, formerly of Bucks Fizz. with the addition of Bobby McVay.
They eventually re-branded as "The Fizz" and released their first album, produced by Mike Stock, in 2017. The album became a top 30 hit reaching #25 in the UK.
Now a three piece after the departure of McVay in 2018 The Fizz released a Christmas album in 2018 and a new album in 2020.