Running and connecting to different MySQL servers in Docker containers

Running and exposing default MySQL port:

docker run -e MYSQL_ROOT_PASSWORD=mypassword -p 3306:3306 -d mysql

mysql -u root -p

Running with a different exposed port on the host:

docker run -e MYSQL_ROOT_PASSWORD=mypassword -p 3307:3306 -d mysql

Connecting to server on different port : -P option, but also requires -h for host, otherwise seems to connect to whatever is running on 3306 by default:

mysql -h 127.0.0.1 -P 3307 -u root -p