What to expect At Pet Rescues:
Many rescues require you fill out an application before meeting the pet. After they review your application they contact you with the time and place of their next community event so you can meet the pet.
Some Rescues after reviewing your application may decide that a pet you are interested in is not the best choice for you. This is in your best interest, but can upset some people. Most will tell you why they do not think the pet is a good fit and suggest another more suitable pet if they have one.
Most Rescues do require a home visit. They are quite concerned about their animals and do not jump at the first person. This is a good thing, remember they rescued them from kill-shelters, nursed many back to heath, they have put much time and in most cases, much money into getting this pet ready for you.
The foster pet person should have lots of information on how the pet behaved in their home. In addition, how the pet progressed, and any issues still needing work. The foster person is usually the one who has spent the most time with the pet and either speaks to you directly or through the organization.
Like with the shelters, most Rescue pets are neutered and have a microchip. Do ask if they don't offer the information.
Like Shelters, the Rescue folks should have information on IF the pet is suitable for home with children or other pets. Again, if there is any question it is best to find another pet.
At Both the Shelter and Rescue: There are adoption fees for both. The amount varies depending on the organization and particular health issues of the pet.
Generally require: an adoption application and an adoption agreement. They may have other paperwork as well.
Have you read Choosing a Pet? It may give you some additional insight. Have fun finding your new pet!