I'm with Yuri on this one. Crack the seal and it should be alright.
On the other hand, what the hell is a "bin"? One of those RubberMaid storage bins?

They're not food grade. Your beer WILL taste like plastic!
IMO you just wasted a lot of time and $$$...but look at the experience you've gained...(that's why we are here so you don't waste your time and $$$ - we try to keep you and everyone else from screwing up and getting it right the FIRST TIME!!).
Go buy a primary bucket!

Leave the bin for the sweaters...