There is nothing stopping you from using your bonus action to Disengage and your action to Hide (or vice versa; you can't do both with the same action).
However, Disengage does not actually give you more movement; it simply allows you to move past or away from enemies without provoking an opportunity attack. Unless you are within 5 feet of an enemy (or on an adjacent square/hex, if you happen to be playing with miniatures on a battle grid), you don't need to Disengage to leave an enemy's sight. Moving behind an object that gives you cover, such as a tree trunk or cart, will most likely be sufficient.