The phrase "are getting settled" is correct and usable in written English.
It can be used to describe the process of someone or a group becoming comfortable or established in a new environment or situation.
Example: "After moving to the new city, we are getting settled into our new home and exploring the neighborhood."
Alternatives: "are becoming established" or "are finding our footing."
We'll play this over the loudspeakers at the show while people are getting settled".
"Look at the Holocaust cases that 50 years later are getting settled.
Traditional lectures can often last 50 minutes due to downtime when, for example, people are getting settled.
Now the startup actually is shipping cubes — or, rather, kits for assembling your cube — and co-founders Alex Hornstein and Shawn Frayne are getting settled into a new office in Brooklyn.
Their advice includes arriving at the classroom early and sticking around afterwards in order to be more accessible to your students, playing interesting YouTube videos as your students are getting settled, establishing an email policy (and sticking to it), and letting students take responsibility for leading discussions.
While the deck passengers are getting settled on the bridge and saying goodby to their families and friends, the cabin guests are treated to welcome cocktails and canapes in the ship's lounge, where they meet their host and hostess.
While his parents and sister were getting settled in their rooms, the lad disappeared.
But slowly I am getting settled in and I just play my game and make the team win".
Crozier and Norman have hit the jackpot, with advertising rebounding just as they were getting settled into their offices at ITV's headquarters on London's South Bank.
For market-rate tenants, increases can come each year, and amounts can vary; at times, the increase persuades families who had just been getting settled to leave.
As Brodhead was getting settled, Joe Alleva, Duke's athletic director, rushed in with urgent news: the Los Angeles Lakers had offered Coach K the job of head coach, and Krzyzewski was thinking of leaving Duke.
