ceiling cracks-spider web cracks
Any reputable contractor or handyman will be able to make the repair. It may be worth having them investigate further as to why the cracks are occurring.
You'll want to mention to them when they appeared and if they have increased in size recently.
If they haven't just appeared and if you live in a seismic area the repair is a matter of securing the loose sections with screws aand covering the cracks with Spackle.