Is yours floor mounted or wall mounted?
Many sinks fit onto posts or heads with a wedged slot, if mounted to a wall. Usually gravity and the friction of the wedged slot is all that keeps it there.
If wall mounted, jack it off the moorings from under and near the wall. Cushion with a woodblock. Once it is raised clear of the wedge slot, it should come off quickly. Remove hook ups first, of course.
I don't understand why breaking it up is the best approach. Sounds pretty messy and amature-ish.
Of course, many situations are unique. I haven't seen yours, so who knows?
Cheers,