Well done Frank,
Reducing hunks of firewood down into more easily ignitable kindling is a task khukuris are well suited for. Still, if there's sufficient quantities of dead, dry, twigs around, you can save yourself some chopping time and still get a hot fire going fast. Even on a damp, rainy, day you can generally find dead twigs on the lower branches of trees, where the upper branches have pretty much kept the rain off of them. When I say twigs, I mean skinny little things that you can easily snap with your fingers. No "snap" means the wood is moisture laden and won't work well.
Gather up a ball of these twigs roughly the size of a canteloupe, set it in your fire lay, and start arranging larger, finger thick, twigs on top of it, in a way that you don't crush the ball of twigs, and ensuring that air can circulate through your fuel.
What you've got now is a dual purpose kind of deal. By itself, it will quickly burn down to a bed of coals to boil a pot of cowboy coffee, or heat a can of beans. If you need to cook longer, just keep adding fuel in the form of dead wood that you can easily break up by hand. Small cook fires are efficient, easy to manage, and easy to extinguish so you can go do other stuff. Or, once you get your initial fire lit, you can gradually add more and larger wood until you've got whatever size fire you want.
There's a gazillion different ways to arrange the wood in a campfire, but there's really only two points you need remember. A: Is the initial fire hot enough to ignite the fuel being used? (ever had to "start over" with a camp fire?), and B: Is there adequate air flow to ensure continued combustion?
Starting a campfire with lighter fluid? I'd be tied to a tree and horse whipped for that.

Seriously, as a medieval reenactor, I pride myself on being able to get a fire lit anytime, anywhere, using flint and steel as my primary ignition source. Still works just as well as it did in all the many centuries in which it was just about the only way to get a fire lit. And man, I'm here to tell you, chicks dig it when you can git r done like Dan'l Boone
Sarge