It's your neighbor here!
I have a BSN and with about 2 years of work experience in acute care settings, I started my process by applying with a recruitment company of my choice because I wanted a sponsor for my EB-3 visa (the only visa RNs qualify for). Following the initial interview I was given an employment agreement for signing. After that I had my school and work documents translated and I submitted these to the CGFNS for credentials evaluation. When my degree was evaluated to be compatible with the US degree, I sent my application to a board of nursing (BON) that doesn't require an American social security number (SSN). In the meantime I was already studying for the NCLEX, so that once the BON gave me the authorization to test (ATT), I was ready to sit for the exam. I passed the NCLEX in London last summer and had my immigrant visa petition filed immediately after receiving my RN license. Unfortunately I received a denial earlier this year but any day now my petition will be refiled with premium 15-day processing.
In order to be able to immigrate, it's expected you have 1-2 years of RN experience in acute care settings. You can choose to immigrate with the help of a recruitment company or do everything by yourself. The benefits of having a recruitment company means that you'll get help with the NCLEX and you'll get the services of immigration lawyers without paying upfront, for example. It saves a lot of headache, especially when it comes to sponsoring a visa. Doing everything on your own, it might be very difficult, if not impossible, to find an employer willing to hold a position for you for as long as your visa will get processed.
I'd suggest you get your papers together and translate them as needed, so you can send them to the CGFNS for credentials evaluation (fee for the CES Report is $350). Your Swedish degree should be accepted without any problems. The NY BON will require the CES Report from you before they can clear you to sit for the NCLEX.
The NCLEX is a licensure examination that's required from all RNs in the US. It uses a computer adaptive testing (CAT) model which means that the computer will adapt to your answers; right answer will be followed by a more difficult question and vice versa. It's worth understanding how the exam is scored in order to succeed. The content itself isn't difficult but there are some tips and tricks that will come in handy. You can study for this exam on your own and with the help of free online resources, you can buy an NCLEX review book or access to an online question bank or you can attend a structured NCLEX review program.
Besides the NCLEX, you'll also need to sit for the IELTS or the TOEFL to prove your English proficiency. There are specific requirements for speaking, listening, reading and writing.
When you receive your RN license, you can finally file your visa petition with the USCIS. Since Trump's election there've been significant delays in visa processing. The USCIS has issued an unprecedented amount of requests for further evidence (RFEs) (in H1-B category it was 45% or 85,000 more than during a similar period under Obama) as well as denials. It doesn't even seem to matter if you're from the Nordic countries - if you remember Trump's comments about Norway. Anyway, once you get to file your visa petition, it should ideally take about 1 year to immigrate to the US.
I'll be here to answer any further questions! It's actually exciting to meet another Nordic RN here