Get to the airport early! Have your luggage tags with your contact information already completed and attached to all baggage. That will make check-in much less stressful and it will go smoothly. Boarding passes can be printed 24 hours before departure so try to do that. That procedure will ask how many bags are being checked-in.
If you can use curbside check-in, that’s the best. If it’s not available, it’s likely you will still need to go to the counter. If you have a lot of baggage or one parent is parking the car, pay a porter to help you.
If someone is parking the car, they should carry their own documents. They can go through Security on their own and meet you at the Gate.
Have one parent responsible for the documents at the counter. Have passports and boarding passes organized so you are not fishing around for them. Be prepared to move right along. One parent manages the counter while the other puts the luggage on the scale or parks the car if required.