Hi,
I've just got through the same process as you're embarking on. My advice is to travel to as many dealers as possible. I travelled to Wales, Leeds, Cambridge and the midlands over a couple of months. I saw some lovely pianos and met some great people. It may help not to focus on makes at first, but try to get a picture of the sound and touch you like. I was looking at C3s and found one lovely one and several very average ones. In that budget you could look at a C5 if you have space.
I've sent a PM with one or two specific recommendations, but my main advice is to take your time, travel, and enjoy looking.
Best, Sy