I haven't done it as a full on detox but I try to have a smoothie or juice for breakfast or at least at some point during the day. I like to put avocado in my smoothies to make them creamier, and it doesn't hurt to throw in 2 tsp of apple cider vinegar. Smoothies are a good vehicle for those miscellaneous supplemental things you should be consuming every day, like ACV, flax meal, wheat germ, chia seeds, protein powder, whatever.
Your recipe sounds pretty good already, more so as a juice than a smoothie. Maybe try some celery. You can find whole books/blogs/sites with green recipes. Just find the recipes you like and make an menu for a few days worth. Get your groceries and start when you're ready. It'll be easier to start if you wait until your regular groceries are all gone so you don't have any temptations (or food rotting in the fridge).