Self-aligning tools may be used to install and reposition an expandable structure in a workpiece. A self-aligning installation system may include an expansion mandrel, self-aligning nose cap assembly, and an installation tool for driving the mandrel. The expansion mandrel is sized to fit within a passageway of an expandable member such that the expandable member radially expands when the expansion mandrel is moved through the passageway. The self-aligning nose cap assembly moves relative to the installation tool and mandrel. A self-aligning seating system can be used to move the installed expandable member. The self-aligning seating system includes a seat backing, a seat base, and a pull rod coupled to the seat backing and extending through the seat base. The seat backing slidably engages the seat base to permit rotation of the pull rod.