Settle into
Definition 1 of 2
Pro Tip 1/3Emotional Transition
Used when expressing the emotional process of getting used to new surroundings. 
She finally began to settle into life without her old friends.
Pro Tip 2/3Time Frame
Implies a period of adjustment with no definitive time limit. 
It may take a while to settle into the new workplace.
Pro Tip 3/3Personal Growth
Can indicate personal development in response to a change. 
He's starting to settle into his role as a leader.