How to check my prospects to immigrate to new zealand as a skilled migrant

Best place to start as always is the official immigration NZ website
They also have a handy point calculator tool that you can do to self assess how many points you can get.

Another importnat thing to look at is the skill shortage list on the immigration nz website. Check the Long term skill shortage list on NZ immigration site. See if your job is listed there. If yes, then you need to send your documents to NZQA for education and work assessment. Based on their confirmation report, you may be eligible for something called “Temporary Job search visa” under Skilled Migrant Category, provided you have 160 points + on the calculator based on some other criteria like Age and spouse etc. This work visa is for 1 year, in which you need to find a job in New Zealand and then apply to convert this SMC visa into a resident card. Also, remember, job search visa is only for you, you can’t bring any of your family members with you in this period until you get a job.

Another good option to start with is come to NZ to study a fellow maybe at Auckland Hospital? You should contact them and see what options they have in your field. I had a friend who did it and had a great experience and he was being pay by the hospital while studying.