Hi Justin,
it pretty much depends on what you prefer. I cannot say one is better than the other, so I will probably just highlight the advantages:
Weather Display - probably the most complex of all SW, which might be advantage for some, disadvantage for others, I personally would use it because I like lot of info myself
Meteobridge - this is what I really use and primarily because I cannot have my PC on 24/7. If you want a small, cheap device that will be somewhere behind a table, absolutely quiet, negligible energy consumption, which will do nothing more than send data online from your station, then this is the best choice. But again, it depends, it also means you don´t see any data on your PC etc. It goes from your PWS directly online. For me it is what I wanted.
WeeWx - also quite good, cross-platform, maybe requiring slightly more technical knowledge to install some things
WeatherCat - very good for Macs