Per Seachem, you do a 1:1 ratio on the bleach:water as Nigel said and soak for 12-24 hours and then thoroughly rinse. Seachem also recommends then soaking the Purigen in a LOT of Prime, I ignore this part because Prime is extremely effective at binding large amounts of chlorine with very little product. I'll put just a single cap full into tap water with 250ml and 100ml of Purigen together, never had a problem, and that's still probably too much Prime. But you need original Clorox, Clorox2 will not be alright.
Yes, you can use carbon and purigen together without issue. Since you don't have plants in this tank, there's no issue. If you had plants and were dosing fertilizers, you would not want carbon because it will absorb the fertilizers.