You have the right to move to another facility. 
If you have been in a rest home / hospital for a while, or if your health has changed, it is best to have a reassessment to check the level of care you require. Liaise with needs assessment and service co-ordination (NASC) before making a move. 
If you are receiving public funding, a needs assessor must do a transfer form. If you experience any difficulty, ask your local NASC for assistance. 
 

NZ Directory of Needs Assessment and Service Coordination

The national contract between care providers and District Health Boards requires that the provider makes the transfer easy. Transfer to another District Health Board requires approval of the receiving NASC team for that area prior to the move. This applies to all residents. Check the length of notice required in your Admission Agreement and make arrangements to fit. Ministry of Health will not pay subsidy to two different facilities at the same time.