fat = weight
Thus, you want to lose weight because you want to lose fat.
If you want weight to stay the same while doing this, that's called recomp (adding muscle while losing fat).
Honestly, I'd rather just work on slowly losing fat. You can increase cardio (I like HIIT/Tabata), carb-cycle, cal-cycle, and probably plenty of other things. Just mildly scale cals back (~200 less per day). Make changes as necessary based on how you feel, what you see, what the scale says. Just remember that mirror > scale.
Good luck.