If you are painting the whole car, you will at least want to remove the fenders, grille, hood,running boards,splash shields. etc. You did not state what body style you have but some of the wood structured bodies can be quite a chore to disassemble and re-assemble.
It depends on the finished job you are after. If you want concourse show quality you may want to look into some of the more expensive paints on the market.
Ford originally used lacquer on the body and black enamel on all Model A fenders. Lacquer is still available from PPG and other manufacturers but has to be ordered.
Some areas of the country have regulations against using it. The advantages are that it is easy to spray, and forgiving with runs, bugs,dings etc. as you can just sand and re-spray the affected area. The disadvantages are that lacquer has to be wet sanded and polished to achieve the finished gloss and will oxidize over time in the sunlight.
Modern paints like base coat / clear coat are less work to maintain. Another consideration is your access to equipment. Modern urethane and epoxy paints require forced fresh air breathing equipment and skin protection which is necessary and a quality downdraft spray booth is really desirable.
Remember the key to any good paint job is the preparation ,sanding,filling dents, priming, sealing, and color application with an eye on humidity and temperature. Lastly, I have seen some decent paint jobs where people have done all their own prep work and then had Macco or similar shops apply the finish coats. The shops sometimes run "specials". It pays to pay them a few visits before committing to their work and ask a lot of questions. Good luck !