Regarding ibuprofen and the like (NSAIDs), there is little to favor one over another besides personal preference. A few exceptions include indomethacin (very rough on the stomach, powerful, but other than in things like gout and a few other conditions, not a good choice), and the infamous celebrex-vioxx-heart attack incident.
400 to 600mg of ibuprofen is generally going to get you most of the relief you are likely to achieve, though individuals react differently. Careful to stay well hydrated as they can damage kidneys (especially already diseased or dehydrated kidneys). They also impair platelets for hours, and that is reversible, so if you have anything that bleeds when it shouldn't (e.g. digestive problems, recent wounds or surgery) check with your doctor before taking these.
Most studies of ibuprofen in otherwise healthy patients using it for short term ailments show no more side-effects than placebo; the one that does pop up a bit is gastritis. Chronic use is different and is best discussed with your doc. Ibuprofen is a pretty safe, pretty effective medication esp for short term use.
Did have a patient once who was deer hunting, sat in a tree for 6 hours and got achey. Started popping 800mg of ibuprofen 4 times a day for the next several days, main consumption was Wisconsin Water direct from the keg tap. The result was severe renal failure requiring dialysis for 2 months. He recovered. Now his liver, that's another story.