As I said I'm no expert on roof ventilation but it's probably not a one size fits all thing. There are going to be differences in roof and gable wall construction from one house to the next. Your place might be getting plenty of airflow through gaps in the siding.
Step one would probably be demolition, if you're already sure that you're going to remove the existing ceiling and install a new one. That will allow you to inspect the roofspace for signs of rot and mildew caused by poor ventilation. Then you can make a decision based on what you find as well as local advice.
Bear in mind that the furring channel will drop the ceiling height by at least an inch, and more if your ceiling plane is dictated by sagging rafters, and if it's an older place they are almost certainly up and down. This drop can present problems if you've got windows near the ceiling. If you have dormer windows, which is likely in a Cape Cod style, the framing, hanging, and finishing will be trying for a DIYer. Keeping true lines where the raking and plumb planes of the dormers intersect the raking plane of the ceiling can get hairy if the framing is running out. And remember you'll be dealing with a new wall/ceiling junction, so if the walls are papered or textured then they might be coming out, which means the baseboards go, the stariwell becomes an issue, etc.
All I'm saying is: be sure you can't just live with a new coat of paint before you embark on this. And be sure to cost the project from the most hopeful scenario through to the apocalypse now scenario before taking a wrecking bar to anything.