Bikes on Eurostar?

Taking my bike on the eurostar and tgv down to lille then onto montbard next weekend. Then a brisk 30miles to the lovely village of missary over hill and dale. At night :)
Tickets sorted with bike going whole, sod saving 20 to have to take it apart and bag it up. That and a royal mail bag should do me proud i reckon. Apparently the change at lille only involves crossing from one side of the platform to the other so no escalator madness hopefully.
Will hopefully be a fairly hassle-free undertaking despite my lack of french, will report back on the off chance anyone cares ;)

You booked your bike on the 2nd leg also?