Your draft order is set prior to the draft according to league settings. In NFL-Managed leagues, the draft order is randomized and you will discover your draft order once you log in to the Live Draft client. In Custom leagues, your draft order will either be randomized or set by your Commissioner.
How do you customize draft order?
To edit the draft order manually, go to League » Settings » Edit Draft Order and then drag and drop the owners to their desired locations. You can also edit specific slots each round by selecting I want to edit the draft order round-by-round on the League » Settings » Edit Draft Order page.