Step1
There are many places to find animals to adopt no matter where you go on vacation. In major cities, there is a municipal animal shelter where you can go to view available pets. Unfortunately, most of these shelters have a very high kill rate. There are other shelters, usually private and non-profit, too. These are no-kill and by adopting from them, you make a place for other cats and dogs to have a safe environment.
Step2
When choosing a pet from a shelter, it's important to look for signs of health. The animal should be alert and have clear eyes. Some discharge, especially in the case of cats, is usually something that can be cleared up with ointment or eye drops. The fur should be somewhat shiny and soft. Ask about the appetite of the animal. It should be friendly and respond to you. Remember many of these animals came from very bad situations, so they might not be the picture of beauty and health, but with some TLC and soap, they can be cleaned up and transformed.
Step3
Once you have selected an animal for adoption, if you have the facilities, spend as much time with the animal as you can. In traumatized animals and animals in flux, their personalities won't start to truly emerge until after they've settled into a permanent home. Use patience, love and kindness to help your new family member adjust.
Step4
Take the animal to a vet. The animal must be completely de-fleaed, vaccinated, and receive a health certificate before it can enter the US or Canada. Expect some upset tummy from dewormer or other medications, if the animal needs them.
Step5
Make your new pet comfortable. If traveling by air, use an airline approved travel case for your pet. They will understandably be freaked out by air travel (or any kind of travel!). Just be patient and understanding. A soft towel with your scent, a catnip toy or a chew toy will make your animal feel a little better during transit. I've found that drugging animals for travel tends to make it worse for them since they do not know why they feel so weird!
Step6
Once your new pet is safely home, keep them confined to a small space for at least 24 hours. This will give them an opportunity to get used to their surroundings and all the sounds and smells. After 24 hours, introduce them to the rest of the house a little bit at a time.
Step7
Keep cats indoors for at least a week (if not permanently). With both cats and dogs, when they are outside for the first few times, go with them and spend time with them in the yard. Once they realize that home is where food, water, love and safety are, they will stick around!