Measure the window opening along the width and length from inside the house, with the existing window in place. Move the sashes up and down as needed to get at the tracks within for the full measurement.
Subtract ½ inch from the measurement you come up with in each direction. Order your windows based on that adjusted measurement.
Remove the border of trim around the old windows (after the new unit arrives), using a hammer and pry bar. Be careful not to break the trim as you take it off. Pull the window sashes straight out.
Stand the new window unit in the opening. Set a level to the side of it. Put shims around the sides and bottom until it's square.
Secure the window unit by shooting screws through the pre-drilled holes in the unit and into the surrounding frame. (Note: Though the house is brick veneer, the border of the frame will be wood.)
Fill the spaces between the window unit and the frame with spray-in foam insulation.
Reinstall the trim around the outer border of the window, using a trim nailer and covering the spaces. Caulk around the trim.