How many Docker Compose needed?

Hi, All!
For example I will install ee4 for my mac. Together with EE I will receive one docker. If for experiments I need to install Docker Compose for Mac, will it be the second docker in the system? Sometimes I use Local by flywheel and they also use docker. Will this be the third docker on my MacOS? Sorry for the naive questions, I still understand how to work with the docker. Are containers stored somewhere in one place of the system or will they be in different places?