alternate between

alternate between (people or things)

To switch between two or more different people or things. We are going to alternate between the lead and the understudy at today's rehearsal. The air conditioner alternates between settings depending on the temperature, so I don't think it will get too cold in here.
See also: alternate, between
Farlex Dictionary of Idioms.

alternate between (someone and someone else)

 and alternate between something and something else
to choose or change between two persons or things alternately. The job will alternate between Gil and Ed. The maid will alternate between the first floor and the second floor.
See also: alternate, between
McGraw-Hill Dictionary of American Idioms and Phrasal Verbs.
See also:
  • alternate
  • alternate between (people or things)
  • switch on
  • switched on
  • migrate
  • migrate between (some place or sth) and (some place or sth else)
  • switch off
  • vary between (someone or something) and (someone or something else)
  • vary
  • vary between (someone or something)