I use a Agawa canyon saw. I also started to used the collapsible little tubes for stoking the fire this year. Brilliant little piece of kit that I will not be without. As someone else said, gets wet wood going much better that without.
I have a small stove (Cub) so wood prep is pretty easy- I carry a Silky F180 saw and a 5.5" rather "husky" fixed blade knife (Fallkniven S1) to process
I've found that old fashion waxed paper does a pretty good job of getting kindling going and it's light (and cheap too). I also have a Livefire tin that I keep in an emergency fire kit, if push comes to shove, I'll break it out to start a fire (it's reusable and normally doesn't take long to fire off the kindling)
I'll say again on the Silky F180, great tool. Other than that I just use my bic lighter from my MSR reactor and some light me tinder.
We have a lot of beetle kill here so we can usually find a dead tree, knock it down, then just saw from the top. I have the 18" LO cylinder, you can measure each around by the length of the saw. Cut an inch shorter and you have a perfect fitting log.
Or if you prefer to go really light just break it but I prefer the extra 5oz if I'm already hauling a stove in.
I agree the thermarest pump is the best, use it to blow up the pad and can just put it down to the fire and away she goes. I’ve been using this for a couple years and it’s the best. Constant blowing rather than using your breath