We've had 6 professional moves. I say pack what you need for the time you are going to be without your belongings. Even with a large house if the truck driver can put another small load on with yours he will. (We haven't had it happen in a LONG time tho). Take those things OUT of the house if possible, otherwise designate a spot in the house and show EVERY SINGLE packer that it's off limits. Take out the trash. Really, we were told our nursery would be done last, so we hadn't emptied out her trash. The diaper genie got packed FULL!! Luckily I noticed it and he knew which box it had gone into.
Put together you cleaning kits because you'll want those things last in your current house and first in the new house.
They can pack your house in a day and a half. It will take you at least twice as long just to get the house in order, but you'll still have boxes for awhile.
Our dog does well with the movers being there. She won't run off, but if your pets will definitely put them somewhere they can't get out. The doors will be open A LOT. We did end up leaving our dog at the neighbor's house where we slept the last couple of nights we were there for part of the time.
Figure out what will fit in the vehicle(s) you are driving. You'll have a lot of stuff with you. Clothes, toys, cleaning stuff, your propane tank from your gas grill. They won't take that even if empty. That's why we won't ever have a spare tank like some do, we just don't have the room to take it with us each move!!
Designate a neighbor/friend who you will "gift" all the stuff the movers won't take...lawn fertilizer, any aerosols that won't fit in your vehicle.
Get the kids rooms set up quickly. Our daughter's took awhile, we figured she could sleep in her pack and play...big mistake - we all slept better once she could sleep and nap in her own crib.
Good luck.