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Here is the download site for Carriers absolutely superb and world famous "Design manual"
It is over 1,000 pages. You would be interested in the piping design section. The duct design section however is equally relevant.
However this is as much an art as it is a science and it will entirely easy to get overly complex here.
If you can tell me how long the refrigerant lines are, and if the condensing unit that sits outside is above or below the cooling coil and furnace and by how much, I can save you a few days of research and point you to the relevant sections of the manual.