Take measurements of the width and height of the opening, moving the old triple-pane sashes up or down as needed to get at the edges. Order the new windows based on the measurements.
Remove the old windows after the new ones arrive. Take them out by prying off the interior trim perimeter from the inside edge of the opening with a hammer and pry bar and pull the sashes into the room. Keep the trim intact as you take it off.
Stand the new window unit in the opening, bottom first, and push in the top until it rests against the trim around the exterior edge. Stand a level next to the unit and push shims in around the sides to get it level.
Drive mounting screws outward through the sides of the unit, at the provided screw holes, and the surrounding wall frame to secure it.
Fill the spaces around the edges of the unit with spray foam insulation.
Set the trim back in place around the unit, covering the spaces. Secure the trim with a finish nailer. Caulk around the trim.