Here's what I use. First, the main soldering iron, which is Weller brand:
handle: 555XT
heating element: 1235-S (As listed here, it appears that it might include the tip listed below. Tips don't last forever though, so it's always good to have an extra on hand.)
tip: PL113 (unfortunately this one is RoHS[*], and doesn't last as long as the non-RoHS ones they sold before all this RoHS garbage came around. It's what there is though.)
The heating element screws into the handle, and the tip screws onto the heating element. Put some thermal grease on the threads where the tip screws on so you'll be able to remove the tip when it's time to replace, so you won't have to throw the heating element out with the time because you can't separate them.
Now the tiny iron, which is only good for the tiniest parts, not thru-hole IC leads:
handle with 12W heating element: WM120
tip: MP131
The stand I use is similar to this one. Supposedly it's not the right one for either of the soldering irons I link to here, but I don't know how it's different from whatever might be right. It's probably not critical at all. You might as well get a few extra sponges too, as they don't last forever. Keep the sponge damp, and when you need to wipe solder off the tip, just brush it lightly and quickly on the sponge. Don't poke it down in, as that will just remove a lot of heat from the tip and not wipe the solder off.
[*]RoHS (say "ROW-hoss") stands for "restriction of hazardous substances." Products sold in the EU are not allowed to have lead, cadmium, and various other elements in them. I have not kept up on the latest; but it is my understanding that most manufacturers conform to RoHS so that they don't have to make separate versions of products for the EU versus the US and other countries. Removing the lead from solder, and in this case, from the tips, causes various problems. Our company has essentially told the European market that they're not worth the trouble. If someone wants to order our stuff and take care of getting it into their country, it's up to them, but we're not going to go out of our way for it. We did get some dense SMT boards with parts on both sides assembled in the Orient recently, and forgot to drive home the point that we do not want RoHS, and they soldered them with lead-free solder, and a few parts got knocked off (the solder cracked and let go) just in the shipping to us. There were a couple of other problems too. For many parts there's no choice, and for some things, it doesn't matter; but we do want leaded solder, and I wish we could still get the tips with whatever they needed to last a lot longer.
