All 3 of those are just brand names for basic pain relievers. Advil is Ibuprofen, Tylenol is Acetaminophen, and Aleve is Naproxen Sodium. Each does something a little different. On a side note, the generic versions work just as well.

Ibuprofen - NSAID, used for the treatment of inflammation, moderate pain and fever.

Acetaminophen - used for headaches and pain as well as a fever reducer

Naproxen - helps with headaches, joint pain and muscle soreness. Also helps inflammation.

Tylenol is an antipyretic meaning it can bring body temperature down, this helps with pain associated with fevers. It is also an analgesic (pain relief) by stopping certain nervous system pathways.

Advil is a non steroidal anti inflammatory, meaning it stops the bodies defence mechanisms that cause inflammation which helps with pain relief. Also helps with fevers somewhat and the combination of Tylenol and Advil can absolutely SLAP for pain relief related to fevers.

Advil and Aleve are essentially the same thing but Aleve is longer acting.

Should also add that if any of these are taken in large doses for a long period of time:

Ibuprofen - trashes your kidneys

Acetaminophen - destroys your liver

Naproxen - eats a hole in your stomach

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Basically for me, ibuprofen for injuries and joint or muscle aches, acetominophen for headaches, fevers & body aches.