The main way you will be moving objects around the scene is through Free mode. To get into Free Mode:
Select the Mode tab on the Ribbon
Click Free Mode
Now you can move objects along an axis by clicking and dragging on one of the arrows. You can select between either moving or rotating objects from the gizmo buttons at the bottom of the Viewport, or alternatively, you can press T for the position gizmo and R for the rotation gizmo.
Drag along the gizmo arrows to move or rotate the object in that direction. You can manipulate the object on three different axis the x, y, and Z.
To learn more about Free mode and and gizmo manipulation see the Free Mode Guide.