If you are the commissioner of a private league, you can change the draft order by going to the league settings tab and selecting edit draft order. There are different options such as editing draft order round-by-round or adjusting snake settings and more.
The order of selection is determined by the reverse order of finish in the previous season.
If you manually set it then hit the Randomize button they can see it. It shows on the league homepage that you randomized and how many times you've randomized. On the website, Draft > Draft Results will show the entire draft order, round by round so everyone else can see the order.
Have different tabs of each position with list of last year stats for each player and what they scored in the current fantasy league. Make any notes for players that changed teams. I usually look at each nfl teams offensive line additions and overall defensive rating to. Then I usually break the positions into tiers.
Comments Section LM Tools > Edit draft settings (Under Draft tools)> Set draft order to 'Manually set by LM. Go back to LM Tools and under draft tools there should be an option to edit draft order. Also just enabling draft pick trading will make a draft order, then you can go and randomize it if you want.
Most dynasty leagues operate like the NFL. That is, the draft order is determined by the reverse order of the previous season's standings. The last-place team picks first and the champion picks last.