Run Around Meaning

(tennis, of a forehand or a backhand) To change one's position on the court to hit a forehand rather than a backhand, or visa-versa.

Example:   I don't want to run around all week getting everything ready for the holidays.‎
1918, W. B. Maxwell, chapter 7, The Mirror and the Lamp:
  â€œA very welcome, kind, useful present, that means to the parish. By the way, Hopkins, let this go no further. We don't want the tale running round that a rich person has arrived. Churchill, my dear fellow, we have such greedy sharks, and wolves in lamb's clothing. […]”
2006, Greg Moran, Tennis Beyond Big Shots, page 71, ISBN 1932421041
  He'd gotten into tremendous shape so that he could run around his backhand and avoid hitting it altogether. He even tried a left-handed forehand. That was how desperate he was.