Hi Monica,
. Pull up a seat and avail yourself of all the forum has to offer.
Pets and rentals........ a very emotive subject on here. Cats will probably be no problem but, yes, there can be difficulties finding rentals that will agree to take dogs. That's not to say it's impossible, as several of our members have found. It just takes a lot more hunting around sometimes.
Perhaps if you do a search for the terms 'dog' or 'dogs', you could bring up previous posts about this topic, which may be helpful. Dawn, one of our star members, has recently found accommodation that will take her thundering great dogs and she is moving again in the very near future so these places are available.