A 4.05 bore block is a 390 (3.78 crank stroke) or a 360 (3.50 crank stroke) or even a 410 with a 3.98 crank stroke. And yep 4.13 bore block would be a 406 (3.78 crank stroke) or 428 (3.89 crank stroke).

Crank ID there should be a number stamped into the edge of a counterweight.
These are some of the more common one's you find......

3.50 stroke 2T or 2TA
3.78 stroke 2U or 3U
3.98 stroke 1U or 1UB.
There are other numbers so if you find something different post what it is.

Pistons should have a part number and bore size on them. Rods will have a number on the side of them.

Pretty simple to ID everything. Shouldn't be a problem.