For the love of Pete, I just want to move a shape.

I’ve used the selection tool to select a shape. I go to move said shape by dragging it, and it just makes a new selection box. Please help.

When you go to drag, are you starting with your finger/Pencil/mouse cursor inside the selected shape?

Yes.

Since these are not filled shapes, you have to drag them precisely from the stroke lines. I hope this helps.