Fairly quiet introvert seeking longterm room

Key points:
- 1 flight of stairs maximum as I have mobility issues
- I have pets

My names Sam and I’m currently a complex needs children's practitioner in Catford whilst I get my degree, with the long term goal to become a teacher in a high-school.
I’m looking for a room which is close enough to work preferably 1 bus or 1 train.
I’m a bit of an introvert and keep to myself to work on my studies at The Open University. I’m working on my BSc in STEM and I do this part time whilst working full time.
I don’t really have any deal breakers but I would prefer no smokers as I have asthma.
I don’t smoke anything or drink to excess.
I currently have a cat called Cthulu who is very anxious and mostly sleeps all day on my bed.
Only 1 flight of stairs preferable as I have mobility issue.