There are ways to do this in Blender. I typically select all objects, hit tab to go into Edit Mode, turn on X-Ray Mode, Select all vertices that I want to move,

There are ways to do this in Blender. I typically select all objects, hit tab to go into Edit Mode, turn on X-Ray Mode, Select all vertices that I want to move, move them (with snap) to the vertex I want to key off of (limiting movement to a specific axis), and then finally moving them again by entering the value of the distance (again, limiting movement to a specific axis).