I suggest you offer more rent per month, even if it is just $50 to $100 more per month. Sometimes the additional "pet rent" will give the owners and incentive to choose you over an applicant with no pets. You should expect to pay a pet deposit, provide pet references, and even get renters insurance to cover your pet's liability.
Jessica Acker Carrillo
Wellman Realty Company
Wellman Property Management, Inc.
(310) 828-3132 Office
1415 Stanford St., Suite #2
Santa Monica, CA 90404
License # 01894323
Checked the link. It states "will consider 1 cat".
Lots of owners don't want pets because of previous problems
with other renters. You have to show that your pet is well trained
and won't keep on narking when left alone and won't damage the house.
I know the agent, let me know if I can represent you.