Methods for moving a starting motor or a torque converter within an auxiliary compartment of a gas turbine are provided. A removal apparatus, which includes a lifting fixture attached to a beam pivotally mounted on a mast, is secured within the auxiliary compartment. To move the starting motor, a plurality of lifting hooks on the lifting fixture are attached to the starting motor, and the lifting fixture and the starting motor are hoisted. To move the torque converter, a pair of lifting lugs on the lifting fixture is attached to the torque converter, and the lifting fixture and the torque converter are hoisted. Methods are also generally provided for securing a removal apparatus within an auxiliary compartment of a gas turbine.