I recommend against going forward with that.
But right, if you must Draven.
First, practice in bots/customs until you can consistently keep two axes spinning at all times when farming. The axes land in the direction you're moving, and it's not random like new draven players tend to think.
Then do that with a bot, and make sure you keep both axes spinning while chasing them down (ensure you're moving towards them between AA's so your axes land appropriately). Even fairly bad dravens can keep their axes going when simply csing, but when they actually go in on someone they promptly drop both axes, drastically reducing their damage output.
Remember your stand aside can be used to interrupt dashes if you're getting dove. Also be sure to aim your stand aside so it knocks enemies to an appropriate side, instead of aiming directly at them.
You have a global ult, so keep an eye out for cross map snipes. Also remember to reactivate your ult right before it hits the target to ensure you hit the target going in both directions.