if you want to stay on the same layout just use a big layout and move to a different location on the layout.
for example in my game I have a viewport width of 854. so my layout length is 854x3 and I jump to 3 different points in the layout for different screens.
for a transition you can fade in a black Tiled Background on the HUD(parallax 0,0) layer, then fade it out for a quick fade to the new area.
or you show the camera scrolling to the new location, just have an invisible object with ScrollTo behavior then move/tween the object to the desired place and the camera will follow.