Verb: run around Meaning: Be very busy doing many things I’m exhausted- I’ve been RUNNING AROUND all day.
Verb: root around Meaning: Look in a place to try to find something I ROOTED AROUND my flat trying to find the letter.
Verb: push around Meaning: Bully, treat badly My boss likes to PUSH us AROUND.
Verb: poke around Meaning: Move things around or search in a casual way to try to find something I POKED AROUND in my desk to see if the letter was there.
Verb: potter around Meaning: Spend some time doing little things for pleasure I POTTERED AROUND, sorting out my CDS and a few other things.