UPDATE: Recent SmartThings User Experience & Platform Performance

Research the specific standard your bulbs use. Hue only works for Zigbee Light Link (ZLL). I have a lot of GE Links connected to Hue hub and they work great, for example

UPDATE
@chickwebb your question reminded me that I have an Osram Bulb in ST that I meant to research to see if it can be moved to Hue. And just confirmed that it can. see this thread for the issues I ran into today:

I did that back in December, the migration was seamless. No messing with the bulbs or anything. There is a migration tool provided and good directions.I was done in less than 10 min…

It really depends on your use cases. Hue just released app 2.0, which adds their own scheduler…