This is personally the awesomest place near Almaty given its hard-to-reach accessibity and MiddleEarth-ish landscapes. You will have to gain 400 meters of hard climb to the Titov' Pass (3600masl) but the view worth it!
Then you have to roll down the quite steep trail (mind the part with -55 degrees slope with loose stones) to get to the circus. It is hard but doable given minimum mountain experience. We return back to the road down by the beautiful Gorel'nik gorge.
Food and beverages: not served for this hiking, bring your own snacks.