Looking for a Pet-Friendly Double Room or Studio

I am looking for a double room or studio with an en-suite bathroom in Cambridge for me and my two domestic short-haired cats. I will be moving there in September 2022 for my MPhil in Education at the University of Cambridge. Ideal location would be around Hills Road between the Faculty of Education and Hughes Hall.

I am a 30yo woman and am returning to academia after over 7 years of professional experience across private equity, education and international development.

My cats are 4 and 6, both female and spayed, docile and clean. They will mostly be contained to my room, be fed and use the litterbox there, but I would hope that homeowners and potential flatmates would be okay with them exploring the rest of the house on occasion.

Other than the bedroom, I would like access to a kitchen and other amenities such as a refrigerator, washing machine, dryer, etc.