I've been using Radio Shack 0.032" 60/40 rosin core solder for bigger parts, particularly pin headers and it works ok, but mine is pretty old so it probably doesn't work as well as it used to.
As much electronics work as I do, it still takes forever to get through a spool of solder. Best to buy in small quantities so it stays fresh.
Solder BraidRadio Shack (64-2090) 5' rolls and it worked ok for removing a number of parts from junk electronics or for cleaning up solder bridges on fine pitch QFP parts. It worked even better if you apply a flux pen to it just before use.
I've recently tried Stanley Supply Services 0.100" x 10 ft. rosin solder wick (410-115). It's wider, with finer braid, quicker action, more thorough wicking, and it's cheaper. You get twice as much braid for about half the total cost.
FluxRadio Shack (64-022) rosin flux paste. It works well to improve solder flow but it is really messy and hard to clean. It gets gooey and liquidy in hot garages in summer and hard as a rock in cool garages in winter.
Then I tried a flux pen. It happened to be a Kester #2331-zx pen. I found it easy to apply, relatively clean, and solder flow was out of this world. This is my go-to flux pen.
For giggles I recently tried a Kester no-clean flux pen, #951, and found it to be clean at the cost of slightly decreased flow. When you first apply it, it appears to dry out, then wets up again when you apply heat and solder. Weird. I notice that if I let it sit on the board too long it doesn't work as well. Best to apply it as you go.
I thought I'd try a brass wool tip cleaner so I picked up one from Aoyue. It works brilliantly! A few quick dips of the tip and it comes out shiny as a mirror. No mess, no fuss. I can't say enough good things about this.