Honestly, as far as milk/lye go, I prefer to just make it so no stockpiles accept them, and make a large excess of buckets. That way, they mostly just pile up in the Farmer's Workshop/Ashery until I decide to make cheese or soap.
I don't worry too much about vermin, either. If I happen to get a breeding pair of cats via migrant waves, I'll toss them in my food stockpile areas, but I don't think I've ever run out of food. I currently have something like 30 tamed female cave crocodiles laying massive clutches of eggs, so I think I'm set for the next millenium or so. If only I could brew them or ferment them or something to make some kind of horrific egg-booze...
Oh, also, I did an experimental fort a while back where I made everything I possibly could out of lead. Lead barrels, lead bins, lead minecarts, lead wheelbarrows, lead furniture... the barrels being made of lead honestly didn't seem to make a huge difference overall. I mean, they took forever to haul anywhere, but my fortress designs usually don't have much hauling of food/drink over long distances anyway. The lead furniture, on the other hand...
Oh, one thing to note, wood pots are made with the Woodcrafter skill, not Carpentry, and are made at a Craftsdwarf Workshop. Same thing applies to stone/metal pots, using crafting rather than masonry/blacksmithing.