Is it possible for me to bring my dog into your agency to meet with some of the potential dogs I'd like to adopt? I want to make sure she will get along with whomever we decide to adopt.

After your application is viewed you may be introduced to dog-friendly adoptable pets at the shelter or referred to a a dog foster. A "meet b'day greet" would be scheduled after your first shelter visit.

Actually they'd prefer you do. Yes, you should make arrangements with them as well.

You should call the shelter directly for that question.