When you search for a hotel in a given period and for some reason that period is a special period, finding a hotel can be tedious. If for example the first day a hotel is full, you often will get a message that the hotels are fully booked, even if it is only on 1 or 2 days of that period.
A solution is to make multiple bookings and switch hotels during your stay. For airlines different online aggregators exist for to combine an a trip offered by multiple airlines. For hotels I haven't found a similar service.
I will be traveling to London soon and most hotels seem to be fully booked on one or two days during my stay. I could manually search for other hotels, but I am wondering if there is really no online service doing an ideal combination of different hotel bookings for me to cover all days I am somewhere.