Find a good detailer in your area. Anybody worth their salt will have a WAIT to get an appointment. Sometimes booked months out. Don't find a guy on craigslist. You get what you pay for. Paint correction to include possible wet sanding will be expensive, but worth it. Doing your entire car top to bottom will take a couple days, not a couple hours if done correctly. It will also be expensive (but worth it). What color is your Cobra? If it's black, may God help you. I just finished machine polishing out my black Shelby over the weekend. It's near perfect now, but it took 10 hours, and I didn't even touch the engine compartment or interior.
This is a section of my roof:
