In an ideal world, you'd never face either, but I agree with Rob that cleaning up traces and pads is easier than cleaning up alkaline.
That is, assuming somebody hasn't soldered down half a dozen 40 pin sockets that they lifted half the traces on, and then you have to remove all the sockets and fix all the traces
I was a beginner with crap for equipment once, and I screwed up a few boards. Guilty as charged! No hate to anyone that does that; but I do suggest you learn with a board that is easily replacable and cheap. WPC DMD driver board? Well, that's gonna be a challenge, but if you roach it, you're out a $100 repro board. Sys 11 (no letter) board like High Speed uses? Well, you can't easily find that one!
That's why I always suggest people go grab some electronics from a thrift store or something that have no real value, and practice on those.
Cody makes an excellent point, don't remove an IC unless you know it's bad. Even if it is bad, you should still be able to desolder it in one piece and have it fall off the board. If you have to cut it out with clippers and then desolder lead by lead, you might need more practice.
Along with learning soldering and desoldering, you should also make a point to learn to read a schematic, read a data sheet, and use a logic probe.
Nobody learns this all overnight. Don't worry. Start small and build on it. Ask questions. Know your limits. Learn. Have fun.