We’re a well established club with many knowledgeable members so it’s very likely that any issues you come across will have been discussed here before. Our discussion forum has very powerful search features which should help you find what you need but if you get stuck you can post a new question in the Questions & Answers category.
And finally, if you are new to drones and wondering what it’s all about, have a look at Resources for a beginner.
Just had a look at Tunbridge Wells on Drone Scene, and 3 areas suggested themselves, Lower & Upper Cricket Grounds (I’m guessing the sound of willow on leather has finished for the season) and Southfields Park. Can’t comment on dogs, but I’ve had no trouble with them flying in my local parks. Southfields has a yellow border identifying it as a possible hazard, but this is because it’s a park and many of them do, because large groups of people may congregate there and you don’t want to be flying over crowds, but while it may well be busy on a Saturday morning when everybody turns up to watch their kids play football, parks are fine at quieter times.