C.S.
I don't see why the transition would be that difficult. Lots of kids switch daycares, and in a center even if they stay at the same place they switch rooms at every developmental stage. My oldest son didn't even start daycare until that age (my mom and I split shifts). He went to a daycare center and loved it from day one.
To make it easier you might try to find a center that would let you do some trial days before the final switch. Maybe bring your daughter to the new daycare one day a week for two or three weeks before she goes full time. That way she will have time to get used to the new place and people but still have the comfort of the old routine too.
A lot of it will just depend on your daughters personallity and how well she handles change.