Every humane society or animal shelter has seen its share of pets who are surrendered because many rentals don't allow pets. Renting with pets can certainly be a challenge - but with a little time and effort, you can help to ensure your pet stays where he belongs: with you, his family.
If you're moving and are still looking for long-term housing that allows pets, you can stay in a pet-friendly hotel or other holiday accommodation while you look around. Ask the accommodation for their pet policy. You may need to hire a pet-sitter or find a doggy daycare if you will need to leave your pet for extended periods of time while you work or look for an apartment. Renting with pets can be a challenge, but planning ahead can help give you a head-start on moving both yourself and your pets to your new home.