Can I suggest that you read around the forum and check out the learning zone on the red tab above? As somebody who is newly diagnosed I think it more sensible to look at the bigger picture if you are looking to control your diabetes by diet. You will soon begin to work out that the key is carbohydrate intake and in the overall scheme of things the carbohydrate content in a drink sweetened by artificial sweeteners rather than sugar is not an important contributor. In very simple terms, if you ate a thick crust pizza it really would not matter what you drank with it, any carbohydrate from the drink would be swamped by that in the pizza!
If you are going to go down the diet controlled route, as many of us do with great success, then it is worth starting with the HbA1c result that led to your diagnosis. That will tell you how big is the hill you have to climb. Wanting to loose a bit of weight if you have to is another factor to take into account.
My two top tips are, one, take a bit of time to work out what diabetes is all about and where you fit into the wide spectrum of people with diabetes and two, take the long term view, diabetes is perfectly manageable but getting things sorted is a marathon not a sprint.