Losing fat without losing muscle?

I started going to the gym 3 months ago with my goal being to build muscle. So I followed all proper steps and after 3 months I saw significant increase muscle all over body. Definitely something that worked properly. Recently however I have been wanting to thin down any fat I have left, which is mostly my belly fat. Besides my belly fat, I have very little fat anywhere else. Therefore I came up with a new schedule and a eating plan and I want some professional advice on if I should change anything or if I should keep at my new plan. Every morning I drink an oatmeal milk shake with protein powder. For lunch I usually get a rotisserie style footlong from subway with a ton of veggies and no cheese or sauces. For dinner I have quinoa with plain yogurt (if I have yogurt) and some cooked chicken. Also I have a small protein shake after any cardio/gym exercises. In terms of the gym, I hit the gym every other day and I run at least 3 miles every other day. Therefore I cycle between the gym and cardio exercises. I am not necessarily trying to gain muscle and lose fat at the same time. I am more trying to lose as much fat as I can without losing too much muscle. How does my plan look? Is there anything I should do with my nutrition or my gym workouts? Thanks!

BTW: I a am 6'1" male weighing 169 pounds.

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