Sugar won't harden soap- actually, it will do the opposite if too much is used. I like to keep sugar to no more than 5% ppo in my batches, which is something like 2 tablespoons ppo. Anything more than that and my soap starts to lose some of its hardness. Like Lion of Judah said, though, it will help to boost your lather. I use it at 5% in pretty much all my formulas except for my 100% CO soap with 20% superfat.
Salt, on the other hand will harden soap, but it also will impede lather if you add too much, although there are ways that you can get around that by tweaking your bubbly oils and superfat. It's all a balancing act.
Sodium lactate helps to both harden soap
and to enhance lather, although I wouldn't say that it increases bubbles. It's more like it gives the lather already present some extra 'body' or 'oomph' for lack of a better term. I use it in practically all my formulas at 3% ppo and I love it.
IrishLass