Paleo Diet?

I had great success with the Paleo "Diet", but for me it was not sustainable long term. When I was doing Paleo I did not use MFP - I found I really could eat as much of the Paleo foods as I wanted and still lose weight. I also don't think I could consume enough of those foods to make a huge caloric difference anyway.
Now I am using MFP and re-learning how to eat proportionately. I am a healthy eater but would often eat too much of the cheese or carbs, no problem with sugar. I exercise to gain some extra calories for a glass of wine or 2. It works for me and my lifestyle right now.
If you're just starting out I'd say do the 30 day challenge on Paleo to get a jump start on your weight loss. Then do MFP to keep losing at a healthy rate without depriving yourself of foods you love.

Just another means to an end. The important thing is to find what works for you and you can stick with. I'm personally a LCHF fan, but it's because it's easy for me to stick with when I do it.

I did strict Paleo for a while, but ended up moving into Primal, which is a more permissive version of Paleo. The big differences are that in Primal you can eat dairy (go full fat) if you can tolerate it well and they aim for 80-20 compliance versus non-compliant treats. I'm probably more 95-5 now, but I like the idea of 80-20 so I can have those occasional non-Primal/Paleo treats.

I find it very easy to sustain, though I do most my cooking at home. I also restrict carbs due to insulin resistance issues -- so I try to keep them at 50-80 g per day (total, not net) and I try to get at least 130 g protein per day to minimize LBM loss or maintain it in a caloric deficit (which is 0.7 g per lb body weight). For me that usually breaks down to 10-15% carbs, 30-35% protein and 50-60% fat.

For me, it usually means a couple of eggs, sausage, piece of cheese (my version of an Egg McMuffin without the bread/biscuit) and half a grapefruit for breakfast, big old salad with protein (usually chicken, sometimes steak) with full fat dressing for lunch, then protein and veggie for dinner (steak and artichoke like last night, sometimes pork with an apple ginger chutney I make, duck with sweet potato, etc.). I find it to be very similar to French cooking if you eliminate the bread -- great, rich sauces go great with protein and veggies. The two things I struggled with missing were my penne alla vodka and panang curry because the first is served with pasta and the second with rice. Then, I was introduced to spaghetti squash and it's an awesome sauce delivery vehicle, so I have it with both my vodka sauce and my panang curry. And I don't feel all bloated afterwards or have a major sugar crash later as I would have had with the pasta or rice (I do envy those that can eat high glycemic carbs easily!).

I'll throw in the occasional piece of fruit or sweet from time to time (usually, dark chocolate or something like creme brule or panna cotta). My dairy tends to be mostly butter, cream and cheese (usually for sauces or cooking veggies) and occasional whole milk (though usually as part of a recovery drink after lifting with some extra protein powder). I tend to snack on things like deviled eggs and nuts. I also tend to eat 1650-1750 calories per day, though I burn 2400-2700 on average. I'm also 183 lbs and looking to get down to somewhere around 160 or so, or I think that will be a good goal weight now.

I also feel awesome on it and couldn't recommend it more highly.