Keep yourself busy
Definition 1 of 2
Pro Tip 1/3Active Avoidance
Used when being active to avoid boredom, not just passively waiting. 
During the flight delay, I kept myself busy by reading a novel.
Pro Tip 2/3Positive Tone
Commonly carries a positive connotation, suggesting productive use of time. 
On weekends, I keep myself busy with gardening and baking.
Pro Tip 3/3Time Filling
Implies filling time that could otherwise be idle or wasted. 
She keeps herself busy with puzzles to fill her evenings.