I think generally you have been pointed in the right direction and given some good info.
2 important things I think you are missing:
1.) Hard woods burn hotter and slower. Like Oak, Maple, Hickory, Cherry... a break down is here:
http://waynesword.palomar.edu/plsept99.htm
2.) Green(fresh cut/unseasoned) wood is harder to burn because the sap still has all that moisture in it, which also keeps it from burning as hot and also causes more sparks as has been mentioned, but also it will cause more soot in your chimney, it gets a little more complicated than this but to keep it simple too much soot and you will have yourself a chimney fire.
Some options for you:
Go find some dead tree's that are still standing, or even thick limbs that are dead but maybe attached to live tree's. The point really is to find some free seasoned wood, because even softer woods that are seasoned are better then green wood of any variety. So long as it's not a pine tree. I talk about standing dead tree's and limbs because if it's laying on the ground it's probably soaked, you can dry it out but it's a pain and often they are rotted anyway. Dry sticks are good for tinder/fire starting, just not the main focus.
Easier but more expensive is to buy a facecord of seasoned hardwoods.
Either start the fires with the dry hard woods then you can add about 1/3 green stuff if you need to stretch your wood supply, otherwise just let the green stuff sit stacked for a year or two.
If you don't want to buy the premade fire starters you can use dryer lint &/or paper and make your own by dipping them in hot wax.