You would need to think about the type of pets you have, and their temperament. While the species is important, for example, you need larger doors for large sized dogs, you would also consider if they want to go outside frequently, and thus choose a door that allow easy passage. Generally, larger doors offer easier passage.
Also these doors should be the flexible type, so that your pet can move through easily. For quieter dogs, smaller doors would be sufficient. They may also be more amenable to using doors with slightly harder frames.
Since installation may involve drilling and tapping, you might want to choose dog door for screen door, that don’t require these actions and can be installed easily.
Choosing the best screen door for dogs also means looking at your budget and how much you can afford. Doors that require some effort at installation, may also be cheaper.