Usually, things like juice and sweet smoothies aren't always the best choice if you're trying to limit your sugar intake. Even if they're made with natural ingredients, they can still rate highly on the glycemic index.
Make your greens smoothies also low glycemic (less sucrose/ sugar): my version of anti-inflammatory green smoothies is 60% veggie and 40% fruit (with low glycemic index fruits).
These fruits include berries, papaya (not too...