The video I posted is a really good example how one can split larger logs with materials on hand. Whats interesting is no where have I seen bush crafters talk or show this technique . I could have missed the example if they were shown. To baton seems to be the preferred method but making wedges ( bush crafty? ) and a baton ( also bush crafty ) seems pretty straight forward and dare I say fun?
.. That said, I'd rather pick up sticks than baton wood, its faster and easier. As long as it hasn't been raining heavily you should be able to find all the dry sticks you need, there are always dead branches. When everything is soaked you might have to split wood to get to the dry interior. A good, sharp, camp hatchet is the fastest for that....Hiking may have different weight requirements where a heavier knife might be all you can carry. In that case, pick up or break sticks for kindling.... You'll probably need to make feathersticks in wet weather since most tinder will be wet too. (Tip: birch bark still lights well even when soaked)