Pet friendly long term room in London wanted

Hello,
I am looking for a double room in London area and looking to share with one or two other people - I am open to location as long as it has a station close by and doesn’t take me too long to commute into the city.
I am 31 very clean, kind and respectful. I have travelled SE Asia / Aus & lived in share houses so very open minded and easy to live with. I enjoy Netflix nights in with a take away, catching up with friends, seeing my family, long dog walks at the weekend and the occasional night out and brunch, but mid week for me tends to me very quiet. I am looking for something long term and hopefully make a friend. I work full time, on a hybrid basis - 3 days in the office 2 days at home. I have a little cockapoo called Reggie, he is my baby, doesn’t shed fur, is toilet trained and loves cuddles. He is a very friendly dog who is very much part of the house / family - so I would like to move in with someone who loves dogs as much as me, he will adopt you as his own and want cuddles and attention. He is not cat trained so ideally looking for somewhere that doesn’t have any pets. Want to live with someone who will let reg be a part of the house.
Very flexible with move in dates, ideally looking to move the end of Feb but I can move anytime if the place is right