"All easyJet passengers will be encouraged to limit themselves to a single piece of checked-in baggage. Any additional bags will be charged at £5 (if paid on-line, and £10 if paid at the airport at the time of departure). The total weight limit will remain at 20kg, regardless of the number of bags checked-in."
So with Easyjet you'll have to pay if you have more than one suitcase to check in. Seems more complicated than it's worth!
Pity to see Easyjet go down this Flybe/Ryanair/AerLingus road of baggage charges, albeit half-heartedly