First and foremost before taking any medication try lots of of the following...
Ice the joint or bruised area.
After icing taking a VERY hot bath with epsom salts in the bath. Epsom salts will reduce inflamation, draw toxins out of the muscles and soothe the joints.
After the bath ice the area some more...
If after all of that or if you need a longer term relief you should take a combo of Tylenol (Acetaminophen) for pain relief and Naproxen Sodium, commonly sold as Alieve for inflammation. These medications can be taken together and are not cross-class drugs. One is a NSAID and one is an analgesic pain killer.
Normally and it should become a normal routine though when training hard and dealing with minor injuries and pains to take lots of Epsom salt baths and ice the problem areas. Also if money permits a sports or deep tissue massage every few weeks helps a TON!
"A pint of sweat, saves a gallon of blood." - General George Patton