Lose fat while lifting weights

Here's my deal... female, 36 years old, 5'6" 1/2, about 200 lbs. I've lost 60 in the past and maintained that loss for a couple of years no problem, but I'd love to keep going. I hit a plateau and my boyfriend (who didn't know me before) insisted I start strength-training, since I was all about Zumba and the elliptical machine. I resisted because I just didn't want to for whatever reason, but now I love it and I'm in the weight room at the gym four days a week. I have the little gloves and everything. He's into bodybuilding and he made me my routine. I've been doing it consistently like this for a couple of months now and I do see a difference in my body overall. I don't see much in the way of weight loss but I put the scale away tonight and decided that I do see toning and my clothes fit a little better; this is more improvement than I saw in a long time with just cardio, so that's a plus. I'll get on the scale again if my pants get too big; until then, I can easily get obsessed with it and that's not productive. Plus, I LOVE using the app Jefit and tracking my progress there, lifting heavier stuff all the time. That's really fun to see.

Anyway, I still struggle with how to eat. I need to figure out how many calories, the right proportion of protein/carbs/fats. I just don't really know, so that's what I need input on.

My exercise regime:

4 days of lifting (2 upper, 2 lower; I'm very happy with my current routine)
2-3 days of 60-minute Zumba class (my graduate class meets on the same night as one of the Zumba nights, but when we don't have class because of snow or a holiday I get that extra night in; I've been told that 60 minutes of constant cardio like that isn't really that efficient but I really enjoy it and it's a good de-stresser, so I still go)
When the weather allows, I hike a few miles whenever I can. Sometimes more intense than others; depends on if I go for a hill or just a stroll in the woods, but I love to be outside! Of course, that hasn't been an option in a long time because I live in New England. I also ride my bike when the weather permits. I don't really count these things as exercise because I don't feel like I really elevate my heart rate much; I'm just enjoying doing something active for recreation.

Generally I just try to "eat healthy" and stay in the 1500-1600 calorie range, and aim for the 40/30/30 ratio. I'm really good at getting all my water, eating lots of vegetables and knowing good sources of lean protein, not drinking my calories, opting for whole grains instead of sugars and white flour, healthy fats like EVOO and nuts instead of heavy salad dressings, etc. But is that enough calories if I work out that much? And is that the right ratio on days that I'm lifting? And is it different for men and women, as far as those ratios go? I did some reading but I found some information on the ratios for weight loss and for strength training, but what if you want to gain strength while losing fat? Any input would be considered and appreciated.