I tapered off slowly in my tea and coffee, which I now drink black - no milk or sugar.
Processed foods and wheat products often have high sugar content. It's hard to avoid them, but I notice benefits when I can stick to it.
I still really love desserts. I try to enjoy fruit desserts that I make myself. If I cave, it had better be something delicious. I realised I usually prefer a rich dessert to an overly sweet one anyway.
Artificial sweeteners often caused me to have cravings - the point for me isn't to not eat sugar so much as to be less dependent on sweet flavouring. And, yeah, there is freaky stuff out there about aspartame!!!
You might as well give it a try - even if it causes you trouble, you'll learn a lot about your tastes, personal boundaries and triggers