In addition to the points already made, there are some "cheats" that you can employ to help with fat loss.
DH has been reading The 4 hour body by Tim Ferriss. It's basically a collection of self experimentations followed by him and people following his blog, to achieve maximum fat loss safely.
DH has followed a couple of the tips and has lost so much fat, despite not being actually overweight to start off with. One of the major tips is swimming, preferably in cold water. Also cold showers. Apparently there is some biological mechanism which encourages the body to burn off brown fat when it is exposed to cold temperatures.
Having seen DHs success I am going to start too!
The other one is to avoid dairy products. Apparently they cause the body to release lots of the fat storing hormone insulin. I don't know if I can do that one though, I like my milky coffee in the morning.
Tim Ferriss also reccommends kettlebell swings and a slow carb diet (protein/fat + green veggies + 1 serving of pulses at each meal apart from one day a week when you can eat whatever you like, to trick your metabolism from slowing and thus preventing plateaus.) It's not a ketogenic diet, but you lose fat just as quickly/steadily. It is also easier to stick to long term.
Anyway, lots of these tips can found online in his blog.
Good luck.