KEM -
WELCOME to the board!
Good questions. Let me address with a few comments; others will certainly chip in too.
Beer can caliber is a good place to start. Concrete filled is the norm, other materials are good too. The modern ones are MICRO thin and oft times will be ripped off in flight.
Bore diameter should include 1/40 the diameter as "windage" (read total clearance) as a good rule of thumb.
Outside shape is your choice - simple, like the confederate style or more conoured as many other styles are.
Powder chamber - about 1" diameter and 1" deep. Some others will comment here. Longer/smaller diameter will give higher and focused pressure.
Wall thickness (around the powder chamber) should be at least as thick ALL the way around (all sides and behind) as the diameter of the powder chamber. Wall thickness of the tube can be much reduced as the pressure has peaked by the time the round is moving up the tube.
Drilling? I would use as large a bit as I could safely handle - to reduce the boring time. My first was cut with a 3/4" bit which became my boring bar (didn't have anything else). SPADE drills come big, but require lots of HP and gripping.
Taper can be cut a number of ways, I even did it a little at a time with the 3/4" bit!
Again, welcome, and keep the questions coming!