No, I haven't bought anything yet. I have been on a couple of walks and have been using my trainers and regular coat, but noticed that others had what look like walking shoes and boots and more walking specific coats and trousers, so guessed that there is a sort of "uniform" of particular types of clothes that are best suited for the outdoors?
I haven't really thought about budget but I suppose for shoes it would be around £40-50 mark. Coat, maybe £60 would be enough? And not sure if I need trousers or tops or jumpers, but could probably afford around another £30-40 for those. Does that help?