Melody on the Move was a breakfast-time light music programme broadcast (initially) at 8.30a.m until 9.00a.m provided by a different BBC staff orchestra each day ( the BBC West of England Light Orchestra , for example). It ran without a break between September 1958 and December 1960, by which time it had been extended to 45 minutes (commencing 8.15 a.m) but the number of editions had been reduced to three per week. 

It returned in January 1962 for a further 21 month run on Monday mornings, this time extended to 60 minutes and usually featuring the London Light Concert Orchestra or the London Theatre Orchestra, both of which were augmented versions of the BBC's London Studio Players, conductors being Michael Krein and Reginald Kilbey respectively.

Sometimes a guest ensemble or soloist was also included.  Its final incarnation was in the late sixties as a thirty minute programme every weekday at 11.30a.m. again featuring mostly BBC orchestras but this time presented by the avuncular Jimmy Hanley.

Not surprisingly 'Melody on the Move' had, as its signature tune, the Clive Richardson composition of the same name.

Listen to Melody on the Move played by The BBC Northern Ireland Light Orchestra, conductor David Curry
as broadcast on the BBC Light Programme at 8.15am on 21st October 1960

Listen to Melody on the Move played by The BBC Northern Ireland Light Orchestra, conductor David Curry
as broadcast on the BBC Light Programme at 8.30am on 21st November 1958

MELODY ON THE MOVE at 8.30am on 21st November 1958
played by The BBC Northern Ireland Light Orchestra
conductor David Curry