What's up man, I'm kinda in the same boat as I'm a relatively big dude that's trying to slim down while making muscle/strength gains. I've been experimenting a bit with my workouts for a while and I'm starting to understand more, so I'll give you my two cents...
First, the way your workouts are split up is not doing you much good. In your former workout, you only had ONE rest day, and the same with your upcoming routine. In fact, I would say the new workout you outlines there, where you work out one muscle group a fay, is WORSE than the former.
1) YOU NEED MORE REST TIME!!! Lifting weights six times a week is not going to do much good.
2) You really need to cut back on the number of exercises and sets you're doing. You may think more sets is better, but looking at your general routine I'm willing to bet that the weights are light. Also, while it's beneficial to do a variety of exercises for a muscle group, it's actually better to concentrate on having more intense sessions with a couple exercises instead of four or five, and then later on, you can switch up the exercises you're doing to shock your muscles into new growth.
What I would recommend is 3-4 lifting sessions a week, with 2-3 exercises for each muscle group, and added weight and intensity.
And cardio is CRUCIAL. I suggest everyday you are not lifting that you do intense cardio, and if you want, light cardio on maybe a day or two that you do lift. I'm a big dude, but it's gotten to the point where I go to the park and straight up RUN two miles 3-4 times a week, and it's really accelerated fat loss and strengthened my stabilizer muscles.
I'm telling you this from experience because I was in the same situation as you. QUALITY, not quantity.