It will be difficult but all depends on breed of the dogs, size of the dogs and if dogs have had any history of biting. I would recommend that you have your file prepared, so when you apply to get a house, you will have all the documents a landlord will request and this will increase your chances of getting a property.
I would include following in your files:
1. Shot records of all 3 dogs and a cat
2. History from the Vet showing no history of biting OR damage to property
3. You may want to get a renter's insurance with pet liability clause that protects the landlord and you if something where to happen OR if one of your pets were to bite someone on the property than it will not be damaging to either you OR the land lord...Believe me this is a small expense but any land lord will be very pleased when they see this with your application...speaking form experience
By the way, if you need any help in finding the right property. Feel free to give me a call.
Paul Kothari, REALTORÂ®
DRE # 633612, Sales Agent
Carrington Real Estate Services (US), LLC
3333 W. Alabama, Suite 125
Houston, TX 77098
"A referral from you is the highest compliment I can receive!"