commute between places
to travel between the place where one works and the place where one lives. I have to commute between Chicago and Detroit every week. Mary has commuted between New York City and New Jersey for years.
commute from some place
to travel to work from some place. I commute from way out in the country. Betty commutes from only a few miles away and will be here very soon.
commute something into something
to change something into something. No one, as it turns out, can commute lead into gold. I had hoped to commute this argument into a sensible discussion, but it is hopeless.