Moreover, the mail address should be .ch, as it helps to show that you've internalised that you now live here, and are ready do to things the Swiss way.
firstname.familyname @ providername.ch
Yes! You are right to say it.
use @bluewin.ch to make it really Swiss.
Or protonmail.ch.
What about another fully remote job in the US? How easy is to get that if you are not based in US?
I would recoment reading the excellent advice in the askamanager blog. There are tons of good tips for writing resumes, cover letters, interviews and so on. The website is more tailored to the US, but most of the advice is universal.
Most of the time these get taken up well in advance !
I suppose that depends upon one's first name and family name. "Markus Müller" or "Diana Meier" may abound, but "Constantine Farall" less so.
I forgot that!
Make sure that your job applications have as many as possible of the same words as exist in the job advert, many applications are filtered by robots or low level people who have no idea of your real worth.
For me I suspect it'd be relatively easy, I work in IT, have decades of experience, and am American.
In that I'm trying to learn to be more Swiss (i.e., integrate) I would much prefer to work here. Unfortunately my lack of skill in German means I end up working at international companies where English is the lingua franca.
For most IT jobs here the daily language is anyway English.
I ran a major project as an external supplier to one of the largest Swiss companies (no names), and at the end, I delivered an operations manual.
The customer project manager rejected my manual because it was in the English language, so I spent a small fortune with a technical translation company to create a German version.
The customer project manager again rejected my manual because "the operations team would not work with it".
I demanded to meet this team, they were all English speaking, not one word of German between them - I gave them my original English manual; problem solved.
Or @gmx.ch
I would.
I am finding knowing the local language is become more of an requirement now with IT jobs and English is a bonus or "Good to know"
Definitely highlight that you are married to a Swiss - that will confirm that you are free to work in Switzerland permanently.
And certainly keep on your language course and consider finishing your degree - in my opinion, having it half-done looks worse than not having it at all. (I would certainly not list a failed course of study on my CV although I have some modules of a Diploma that I did a long time ago which came in handy when getting accreditation as they added to my dossier)...
And I would definitely highlight the need for a very polished LinkedIn - first thing people check these days when hiring.... which reminds me, I need to update mine this weekend - even my clients look me up.... and I certainly look them up too !
Given that you have 30+ years ahead of you in the work world, it might be worth considering finishing off your qualifications. These days having a degree in the IT world does not make you stand out, it makes you equal to all the other candidate. And it will ensure you don't get filtered out even before the consider what you bring to the table.
That's not the whole phrase though. I feel it often does a disservice to those who don't find their path immediately. ̈
"a jack of all trades is a master of none, but oftentimes better than a master of one. "
Maybe, but is not an advantage in Switzerland and does make it more difficult to find a job.
The obvious question to the OP: What do you actually enjoy doing?
If you need to finish a degree, brush up your CV or linkedin all boils down to the very first step: Where do you want to be? You got healthcare experience... pretty sure there are plenty of jobs in hospitals, elderly or disabled care where nobody will worry about your linkedin profile. Same for many non-Academic jobs. There it will boil down to personal connections... the advice to get an education is sound, but if you dont like IT, dont force it. No point to make yourself unhappy for the coming 30 years. Yes, Switzerland really likes formal education, but it does not need to be a university degree. Not even the three year vocational training - there are plenty of "Eidgenössischer Fachausweis" in this or that which can be obtained much faster... but it will require German. Should not be rocket science for a Swede...
Or you could use this jobscan to help!
My guess is that most jobs here aren't available to me because of my inadequate German skills. Learning German to an reasonable level is good for one's career, among other significant benefits.
My career has been quite successful as a Jack of all Trades (in IT at least), but I keep my CV focused on a few things because it's easier to kick down the hiring door that way.