I think most budget performance rebuilds are based on using Hypereutectic flat top pistons because of the lower cost. Keith Black and speed pro have several choices, but the speed pro pistons do not have valve reliefs, and may sit further below the deck (low compression), so the KB pistons will usually be you best choice in the affordable priced pistons. Next is cylinder heads. This is where the power is made, and throwing a bunch of money and time at the old stock heads is not the best bang for the buck. The two most common choices are the Edelbrock RPM or 440 Stealth heads (these also require reduced wrenching head bolts.) For intakes, the Edelbrock RPM works with a wide range of cams and applications. A mild 383 usually only needs a 750 cfm carb.
1-3/4" Headers and 2.5" to 3" exhaust are common.
The stock rod bolts are the weakest link, and need to be replaced if re-using the stock rods.
If you have the extra money for a stroker kit (about $1200-$1500 above the cost of the stock stroke rebuild), you get a new and stronger crank, rods, and forged pistons. If doing a stroker, do the whole kit because most of the affordable pistons are designed to use the aftermarket rods with the 0.990" piston pin, and some of the cranks /rods are designed for the 2.20" rod bearings.
The cam needs to be chosen that works with your intended application, compression ratio, and fuel octane, but for a mild 383 it will usually be something like the XE268 or Voodo 60303 (also a 268 duration cam) if using mild gear/converter/compression. You can go with a larger cam with higher stall, etc.
With the stroker you will usually end up with higher compression, and alot more displacement (496 cid with a 4.25" stroke), so the engine will want a larger cam and it will make more power.
The stroker will want at least an 850 cfm carb and 1-7/8" to 2" headers.