Yes, be careful with Tylenol - but this is two per six hours which is the adult dose. I think the key is timing. You can just do the Ibuprofen and spread the dose out as well. I would avoid Tylenol if I had any liver concern, though.
Basically, any OTC pain reliever would work better IMO if you time the doses to keep a steady amount in your system. A person can mix Tylenol and Ibuprofen. I doubt mixing any of the other OTC analgesics would be as wise (aspirin + ibuprofen would be hard on the stomach, for example).
Personally, I prefer aspirin now - but if I'm having a lot of pain I use Tylenol + Ibuprofen on the basis of what my doctor said.
Here's a funny thing I read about aspirin that works. Dissolve aspirin in a glass of water and then drink the solution to avoid having an aspirin tablet burning a hole in your innards. Sounds disgusting - it's actually quite tolerable. One aspirin stirred up in a glass of water is a piece of cake to drink down.