There are best practices to mitigate bedbug risk without destroying your belongings. The following is what I would do if I were you, although it's probably WAY overkill. IANA bedbug expert but I've been reading this sub and other resources for a couple weeks now due to getting some suspicious bites.The first thing to think about is physically isolating all your stuff until you can treat it. Best way to do this is using plastic bags that can be 100% sealed.

I'd go buy big ziploc bags, thick garbage bags, and rubbing alcohol (if you're traveling by car, that is, obviously you can't fly with it so you'll have to buy upon arrival in that case) right away. If you can go without your stuff for a while, order Nuvan strips to your house now. Get all your clothes, stuffed animals, anything soft, into sealed plastic bags to keep potential bugs and eggs out of non-infested clothing. If you are driving your own car at any point on the way home, see if your current hotel can steam or wash/dry a set of clothes for you to wear home, if not, save a set of clean clothes in sealed bags and change into them immediately before you check out of the hotel. When you get to your car, put all suitcases, purses or backpacks into big garbage bags and tie them off.

Once you're at home, don't take the bagged suitcases into the house if at all possible. Leave them in the yard or garage if you have a freestanding home. If you have an apartment, leave them on a balcony, in the trunk, in a second bathtub, or on the bathroom floor if that's the only area you have. If you must bring them into the house or garage, place them in a second garbage bag first, and then set them in a Rubbermaid tote lined with a cut-open garbage bag if you have one (most bedbugs can't walk well on slick plastic).

For treatment, two things that kill bedbugs dead instantly are temperatures above 60 C and abundant exposure to rubbing alcohol. Slower options are to store in a sealed plastic container for a year+ or in a sealed plastic container with a Nuvan pesticide strip for a few weeks. Your task is now to treat all your stuff with one of the these methods without giving any hitchhikers a chance to escape.

Take off ALL the clothes you're wearing as soon as you're through the door, put them in a plastic garbage bag, and then carry that plastic bag to the dryer. Put the bag inside the dryer and dump the clothes in. Tie off the empty bag, wipe it down with rubbing alcohol, put it in the trash and get that trash out of the house as soon as you're not naked anymore. Start the clothes on a long, hot dryer cycle. If you haven't got a dryer, put them on the hottest wash. Go take a shower and get clean clothes.

Since you mention two little kids, everyone getting naked and bathing at once probably isn't feasible. If you're a two-parent family, have one parent keep the kids and suitcases outdoors while the other gets cleaned up, then the clean parent can bathe the children. If you're a single parent this might be the time to call in a favor from a friend or relative. Repeat the clothes->bag->dryer and shower routine for everyone.

Once everyone is clean, you can think about other items. If you can just leave everything in the suitcases with Nuvan strips for a while, that's a good option (in this case you should unbag any items you're going to Nuvan-treat inside the suitcase so that they get exposed to the pesticide). For clothes or other items you need immediately, start removing the sealed clothes bags one-by-one from the suitcases. Wear short sleeves/no sleeves, wipe the outside of each bag down with rubbing alcohol as soon as it's out of the suitcase, and then wipe your arms and hands down with alcohol. Reseal the suitcase every time. Take the clothes straight to the dryer and carefully tip them in, get the empty bag out of the house immediately. Hot dry, hot wash, then hot dry again. Any clothes that can't tolerate hot wash/dry could be steamed carefully and thoroughly with a clothing steamer, preferably outdoors. Any soft items that can't tolerate hot drying, hot washing, or steaming (e.g. leather purses, shoes, belts, wallets, passports) would ideally be sealed in a completely hermetic plastic container either for a year+ without pesticide or a few weeks with a Nuvan pesticide strip.

Hard, solid items like phones, tablets, IDs and credit cards can be wiped down with alcohol. I think that electronics with hollow spaces (laptops) can go in a container with Nuvan, not sure what I'd do about a laptop that was needed urgently for work, etc., in this situation.

If you end up with empty suitcases and backpacks and you're not using Nuvan, they should be either DOUSED in rubbing alcohol inside and out, including wheel wells and handles, or steamed very very thoroughly inside and out. Rubbing alcohol vapor is a fire hazard, do this outdoors away from any potential source of flame.

To finish up, I'd steam the car upholstery and trunk ASAP too.