For most models of dog water bottles a separate bottle stand is not needed as the dog drinking position is with the bottle held in your hand. With the bottles that you place on the floor, the trough or bowl section is usually enough to keep the bottle upright and stable. If in any doubt about whether you need a separate stand, read the product’s description on the box.
However, for travel in the car you should check that your dog bottle will fit in your vehicle’s cup holder if you need a source of stability. Many models are designed to travel and so should fit most car cup holders and bike bottle cages as well a standard-sized bottle pouches found on backpacks.