Using a web calculator that seems to be roughly 5 litres.
That seems to be quite a lot unless you are doing something to use up a lot of water, such as prolonged intensive exercise.
The (unsupported by any science) recommendation for water (not just drinking but also in food) is 2 litres per day.
I think you may have fallen prey to "newbie syndrome" where you go overboard trying to do things to fix the problems related to your new diagnosis. I remember doing all sorts of things (like eating huge bowls of muesli with lots of fruit because it was "healthy") before everything slowly sank in. Took me about 6 months to really work out what was going on, and I'm still learning more each day.
Personally I would cut back the water drinking by perhaps half (2.5 litres per day) remembering that too much water can be bad for you and upset your body chemistry.
Scary reading at
https://en.wikipedia.org/wiki/Water_intoxication and
http://www.urban75.com/Drugs/drugxtc1.html.
Hopefully your drinking is spread out evenly over the day.
Full marks for your diet change - you sound to be going for it!