Screw the J channels to the underside of the outside edge of the eave facing the walls of the house.
Measure a straight line from the J channels to the house wall. Screw the other set of J channels to the walls of the house. If necessary, use a concrete anchor to attach the channel to masonry or brick walls.
Fit the soffit into the wall-side channel and the other side of the soffit into the eave side channel. Repeat the process for the entire length of wall.
Screw H molding along each corner. Cut the edge of the soffit pieces that align with the corners at a 45-degree angle with the miter saw. Fit the angled soffit edges inside the H molding pieces.
Line all soffit edges with a long bead of waterproof caulk. Allow the caulk to dry for 24 hours before allowing moisture to get on the soffits.