Well, in that respect I'm not so conservative - there is no reason to not take the copper level up to full dose right away, you don't need to take days to do that. That is left over from old advice used when people dosed with copper/citric acid. With today's complexed coppers, there is no need to go that slow, and indeed, going slow often gives parasites a chance to gain a foothold. You don't want to overshoot the mark of course, but with a good test kit, you calculate what a full dose would be (using the tank's net volume, not its rated one) and then you add half the copper, let it mix, test it, and if you are at 50%, just add the second half of the dose.
I always prefer to bring copper back down with water changes as opposed to filtration pads or chemicals.
Jay