First of all, the pet should of course feel comfortable on the road, camping, in the vehicle. So it's best to take things with you that are familiar to your pet, such as the dog's favorite blanket, toys, and so on. Please also remember that it can quickly become extremely hot in a vehicle and even life-threatening for living creatures. Unfortunately, tragic things happen again and again, so that we cannot point it out often enough. At this point I would also think about the safe transport of the pet in the rig. So how does the pet feel comfortable on the trip and how is it safe in the car, for example in case of an accident (sometimes there are exact regulations in countries also for this), once for the pet and also for you.
Additionally, I would think about the mandatory vaccinations and documents for the respective travel region. This can be a real challenge for us overlanders depending on the travel area. Think also of other country-specific regulations, e.g. muzzle obligation or leash obligation in public transport while on excursions or on ferries.
Carry a first aid kit for your pet. Prepare and train for possible first aid situations, just as you regularly do for humans (there are even first aid courses for dogs). For countries where you do not speak and understand the language, it is helpful to write down the most important terms around the pet in the local language beforehand, e.g. for a visit to the vet. You could also use a pointing dictionary for this which helps also in other situations.
Properly prepared, it's cool to be able to take your pet with you when you travel. Enjoy!