I agree that parades aren't really that bad, in that they really only limit traffic flow during the actual parade. So just try to avoid needing to cross the route when the parade is actually on the route. The only other thing I would note is that the attractions along the route do tend to see a sudden increase in line length right after the parade finishes (e.g., Buzz Lightyear might go from almost no line to a 30 minute wait when the parade finishes).
Things like fireworks and F! have a bigger impact on moving about, just because guests are in the viewing area making navigation a bit more difficult. The CMs try to keep walking routes open, so as long as you're there, you should be able to move about. In terms of after the shows end, there really isn't anything you can do other than try not to be in the vicinity of the viewing areas when the show ends.
Being in DCA is certainly an option, especially right now when WoC is not being presented. For me, I would probably try to do the rides in Adventureland, Frontierland, NOS, and Critter Country during the day and then focus on Tomorrowland and Fantasyland during the night (to avoid being in the F! viewing area).