To turn on the gizmo for move,rotate, scale use this dropdown menu and activate the object Gizmos for the ones you want. (move, rotate, scale)
Then you don’t need to use G or the active tool ‘move’ to move the object.
Why the key 1-3 don’t go to edit mode is based on history. Blender has a different history than Softimage or 3DSMax.
I don’t think it was the best move to use 1-0 to hide collections but I know why they did it, because of history and a lot of users wanting it like that.
I have changed my shortcuts so 1-3 goes to edit mode and change to vertex, edge or polys when I’m in object mode. You can also do so if you wish.
It’s impossible to make a keymap that pleases all that is why you can customize it by yourself.