My first concern is my house.. you may have introduced them to your house and it does't take long until your in a nightmare experience to get rid of them. My neighbor before we moved took 3 years of treatments almost monthly after throwing out anything they could live in (basically all carpets, beds, clothes, etc) several times. It's the type of thing you can end up selling a home and then have to still pay more money because the new buyers are claiming lemon laws and you didn't disclose you once had bed bugs..
When getting an exterminator, you want to find one that used a bed bug dog. They are hands down the best way to find out if you have them, they will smell them through walls and will be able to detect them long before you get any sign they are in your home..
My second concern is my cars, I had to get from airport to home, there is carpets in a car, especially the trunk where my luggage was. I'd ask the exterminator and their dog to also do a once over on the cars.
I would probably also throw out the luggage I used and any stuffed animals, even pillows I might have had there.. I would also immediately wash everything looking up online the proper way but I think it's hotter than you normally would use water. you did have your clothes with you, they got put back in with the rest. The throw out part I might wait for the exterminator to confirm but for my sanity, I think I'd have them thrown out right away.
From a family health standpoint I'd at least be on the phone with the doctors to discuss what we should do.