Hi @Helen3 thank you for your lovely comments and for thinking of me. I'm afraid I am booked already on those dates.
I have a friend who has a small self contained house on Airbnb in London so I could check with him if it is free. It is however, completely different to mine and less central, i.e. near City Airport. I'm afraid I don't have the link to the listing, but I can ask him if you like.
I do get bookings quite far in advance and have some for November already, but I'm not solidly booked! There are still a few days here and there for short term stays 🙂
I think you are seeing the base prices on the listings and I do put them up slightly once a particular month starts to look busy, but you are right, I should probably raise them a bit more!