After stocking the woodstove and building the base, I get a wad of newspaper and put dryer lint in it. Then put the wad on top of the log pile right under the flue/exhaust pipe and light it. Then immediately light the rest of my kindling to get the fire going.

If you can start with a hot fire and sufficient kindling, you don't always need to do it as a separate step, but otherwise you can burn crumpled newspaper, use a hairdryer or heat gun, or sometimes even a large candle. If the room temp is higher than the outside, sometimes just a fan is enough.