I've been waging a war with my body fat percentage for most of my life, too, up until about two months ago.
I started on the Autoimmune Paleo Protocol (AIP), which is a gut-healing diet that is supposed to help people with autoimmune health conditions better manage their symptoms or, sometimes, even get them into remission. I was focused solely on those goals and weight loss was honestly not on my mind, but I dropped weight fairly quickly since starting it.
In fact, last week, one of my doctors lectured me about not losing any more weight, since my BMI is now close to being in the unhealthy/too low range. (I was already in the healthy range before I started losing weight). So, now I'm being mindful of that, which is really a departure for me because I've always had a slow metabolism and thyroid issues, which meant I used to have to work twice as hard as most other people to keep weight off.
If you are lucky enough to be otherwise healthy and are just looking to lose weight, there is no reason for you to drive yourself crazy trying to do the AIP, which is an extra-strict version of paleo, and I wouldn't suggest that. But, I really think that a 'classic' paleo or primal lifestyle is excellent for weight loss and health maintenance, too, and you'd probably be happy with the results of adopting that. (And, it really is a lifestyle, not just a diet). Chris Kresser, Robb Wolf and Sarah Ballantyne all have great information on their websites, so you could Google them if you want to look into it more.
For whatever it's worth, I did standard paleo myself for a few weeks before transitioning into the AIP and I think standard paleo is very doable long-term, as long as you like to cook. Although, that's coming from someone who is used to very restrictive diets, so take it with a grain of salt, I guess.
Edit: Also, here is a good primer and it even comes with pictures of cute little cave people. http://www.nerdfitness.com/blog/2010/10 ... aleo-diet/