Traditions is an importer, not a manufacturer (they mainly import Piettas). As far as which is better, Pietta or Uberti - at one time, Uberti was ahead of Pietta, but from what I've seen and heard, Pietta has come along way with their quality. I have several of each, and each particular gun has it's good and bad points (aside from manufacturer traits). I think that some Uberti models (1862 .36 Pocket Police for example) are more close to the originals than Piettas. Pietta makes some models that never existed in history (1851 Navy in .44 caliber). Piettas are less expensive...
To save a few bucks on an 1860 .44 (for example) I'd go with the Pietta (I have one). I also have an 1851 .36 Navy (Pietta) made in 1986 and it's a good shooter.
Can't really go wrong with either. Remember, if you have a problem with a gun, call the importer (Traditions for Piettas, Taylors for Uberti) and deal with them, not the place where you bought it.