Hi CaravelleMan and welcome!
I, like you, recently rebuilt my 383 for my 64 New Yorker and it's an excellent Mopar engine to start with in my opinion. Start with making sure your cam, intake and carb match up in terms of target RPM and CFM range. You may want more torque up front or more horsepower at the end or a little bit of both. Just passing along some of the things that I did:
-Added a Demon Carb (depending on camshaft selection, keep your eye on the CFM to match up)
-Edelbrock Performer Intake
-New Valley Pan
-Make sure your heads are resurfaced, inspected, magnafluxed, pressure tested, etc.
-GASKETS of course
-You might want to add hardened seats for unleaded gas
-Inspect your pushrods and make sure they aren't bent
-Water pump (I stuck with mechanical rather than electric)
-Thermostat
-ARP exhaust bolts
-Switched to electronic distribution (easier than points), but I do carry around a spare set of tools and a points distributor JUST IN CASE.
-8MM spark plug wires
-NGK Iridium plugs
-Electronic Fuel Pump and 3/8 line
-Alternator from Powermaster depending on output/usage
-Inspect pistons
Everyone is different, but that's what I've done so far. Above all else, make sure you kick *** and take no names...