Things to consider before refinancing:
--Possibility of forgiveness (public service, etc)
--Current types of debt
--Amount of debt
--Current interest rates
--How long you think you'll need to pay it off
--Offered interest rates
--Number of loans you have
I recently refi'ed with Sofi. I picked 5 year variable, because I plan on paying it off by end of 2016. My risk because it's a variable rate is limited as a result. If it was going to take me longer, I would have gone with fixed rate.
If you have a list of 15 different loans with different rates, then it might make sense to pay off certain ones outside of consolidation (federal or otherwise) because the rate/amount is small enough.
If you have an opportunity to get the balance forgiven after x years, then don't screw that up. My sister has $150k in loans. She'll be going on a income based payment plan, then after however many years the whole thing will be forgiven due to whatever program.
The decision of when, how and where to refinance student loans is not black and white. You need to carefully consider your options and do what makes the most sense given your specific situation.