Could you tell me what hurts more getting spaces or getting teeth pulled?

Extraction: I assume you're asking about extraction versus spacers used in orthodontic treatment here. In that case, the extraction would most likely be more sore.

Correction of Bite: Can require orthopedic expansion first using fixed or removable appliance, and later braces. The procedure is longer but can result in better airway, broad beautiful smile, and keeping more teeth in your mouth. And yes, it is less painful than surgery. There are some instances that you may need both.