It doesn't require extraordinary predictive power to figure this one out. The future of pets is the miniaturization of already existing species. Taking your elephant for a walk may be as common as taking your dog for a walk now.
Maybe tiny elephants will be kept in miniature herds.
This (above) is a picture of a present-day tiger cub. In the near future this could be a picture of a fully-grown mini-tiger, one that's kept as a house pet.
Lots of large animals will be bred as miniatures.
Even Great Whites will be obtainable as little aquarium pets.
Of course some creatures (above) will get a size boost.
Small insect-type robots with cameras might be the first responders to 911-type calls to the police.
I do believe that science might revive the T-Rex. Recently tiny bits of soft dinosaur tissue were discovered. It's not impossible that the DNA of these beasts might be recovered. If it is then I imagine that some people will want to keep tiny versions for pets.
