Professional male (with cat) looking for a room

I am looking for a space to live for the next 3-6 months (maybe a bit longer) from 19-20th of October (31st of October the latest)

I've been self-employed running my own business for more than 7 years now - I teach calisthenics, handstands and help people with injuries as a personal trainer/movement coach. I work from home in the mornings but I tend to be out most of the day and on the weekends.

My budget is a maximum of £900 (including bills) but I am open to hearing what's available!

Anywhere in central Southampton is good, but I am also open to Eastleigh, Chandlers Ford, North Baddesley, Bishopstoke, Colden Common, Fair Oak, Bishopstoke or along M27 between Southampton and Fareham: Hedge End, West End, Bursledon, Hamble, Whitley, Swanwick, Whitley (those kind of areas).

Open to both furnished and unfurnished options.

If you have a place that'd be suitable for me and you'd be ok with myself and my cat (Andzia, super cute british blue x ragdoll!) - please reach out to me! I'll be very respectful of your place and my cat is very well-behaved!