Is there a word or phrase for "run around"?

I'd like to know if there is a phrase similar to the English phrase of "running around". To explain more clearly, it should mean to be able to go out freely and do whatever one like's without being restricted.

For example:

If you're going to own a dog, they need some space to run around and exercise.

Have you been running around with those hooligans again?

My wife makes me run around downtown doing all her errands.

It doesn't necessarily mean "to run" all the time though it may. Just wondering if there is any phrase that resembles this. The only thing I can think of is 遊び回る and that may only apply to children, games, and such.