Hi Passion! I'm so happy you're going to add some weights into your exercise routine.
Here's what I'd recommend if you were my client (and a lot depends on how much time you have to exercise):
For fat loss, try for 4-5 days of cardio to start. Eventually (if you have time), work up to 5-6 days. Try for 30 minutes. If you keep your intensity up or throw in some high intensity intervals, 30 minutes should be plenty.
For weights, start with doing a full body workout 3 times a week. That means you want to pick an exercise for each of the muscle groups (back, chest, legs, shoulders, bi's, tri's and abs) and do 2 - 3 sets, about 12-15 reps for each set.
When you do cardio and weights on the same day, do the weights first and then the cardio. Otherwise you'll be too tired to lift effectively.
In terms of how to set up a weekly schedule, you could do something like this:
M: Weight circuit, followed by 30 min cardio
T: 30 min cardio
W: Weight circuit, followed by 30 min cardio
Th: 30 min cardio
F: Weight circuit, followed by 30 min cardio
Sat & Sun: Rest days
Or you could shift some cardio to the weekend. Really, it's whatever fits in your schedule.
Just don't do two back-to-back weight days if you're working your whole body each time.