Tis confusing, I'll agree. Let me attempt to simplify.
You need an effective weight training program. Starting Strength, 5x5, New Rules of Lifting for Women, 5/3/1 are all effective programs. Why? Because they all incorporate compound barbell lifts with a progression plan. So pick one of those programs, read it, understand it, practice the movements under the guidance of a trainer (or learn them on your own, but go very slow until your form is good). If you're selecting New Rules of LIfting for Women, you have a good program. Follow it, don't modify it to your liking.
Second is diet. Again, if you want to lose fat, eat at a deficit. If you want to gain muscle, eat at a surplus. Up your protein as much as possible. What your EXACT number is can only be found by trial and error. Try picking a number and sticking to it and see what the scale does for a few weeks.
Steady state cardio is going to interfere with your strength goals, so this is a matter of preference. You can do both, but they'll interfere a bit. Toning class sounds like a waste of time, no offense. If you're doing NROL for women, you can absolutely skip that. If you like to run, run. I will argue that you get enough aerobic stimulation while weight lifting. There is aerobic carryover for weight training. There is not muscle gain carryover from cardio.
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