Ellen, after surgery you will be dealing with an entirely different kind of pain.....the kind centered around your incision. And for this, you'll need the narcotics, plain and simple. You may need some supplementing to the narcotics....my doc had me alternating Vicodin and tramodol, and it worked very successfully for me. (Some of us do great with tramadol and some of us don't...trial and error is the only way to find out).
Later, after a month or so, the surgical pain will have receded significantly, and the arthritis pain will be gone gone gone (except for the other hip, but you might be pleasantly surprised to find that it isn't as bad), and you will wean (slowly, gradually) off the narcotics and that's when tylenol should be very effective for controlling what pain is left. Again, I alternated tramadol and tylenol for that second month, and then tapered off tramadol entirely by the end of the third month. I continued to used tylenol well into the fourth month, and only stopped because it started upsetting my stomach. At that point I switched back to Celebrex for a while. Took me 6 full months to be drug-free after my first THR. Took closer to 9 months after the second (which was because of bursitis and IT band problems). Completely drug free now.
That's me. You will have to travel your road to find out what works best for you. But be assured that there are many roads that lead to the same place...much greater mobility with a lot less pain. Soon baby soon!
Sharon