I am able here to sell my Swedish business at my acquired cost to the Cyprus part (since I started this, the cost is just the shares-value which is 2500€)
This is something you really have to check. In most countries this would not work (you would have to sell it at today's market value), but it seems like Sweden may be much less strict about this, so it could work.
Stay in Sweden maximum 120days.
You can be tax resident in Sweden even if you spend max. 120 days there.
Still have option to own my apartment in Sweden, have a car staying in garage the whole time, still have a Swedish bank account for mortgage or other fixed expenses which can not be avoided.
No, they would most likely consider you tax resident if you still have access to the apartment. You can own it, but it should be rented out. If you still have your life in Sweden, they will consider you tax resident.
Which isn't a problem if you have access to a tax treaty that would limit Sweden's right to tax you, however...
Stay there in Cyprus for 70+days +any other third country for remaining days. I would be treated as Cyprus tax resident.
...if you only spend 60+ days in Cyprus, Cyprus will not consider you tax resident as they only consider you tax resident with so little days if no other country considers you tax resident. As soon as Sweden has a claim against you, Cyprus will go: "Ok, he's yours then"
You have to spend 183+ days in Cyprus for Cyprus to "protect" you against Sweden.
So it would be the same as moving to Dubai basically.
There may be other countries with less strict rules than Cyprus. Many countries are similar like Sweden where simply having an apartment there makes you tax resident. Or you may have to declare that it's now your center of life.
However, when it comes to the situation that both countries consider you tax resident (Sweden will always consider you tax resident, as long as you are registered as a resident), then you will have to prove to which country you have the closer ties. 183+ days in one country should always work well for this purpose, but if you spent 120 days in Sweden and 90 days in the other country and all your family and friends are in Sweden and so on, you may have a hard time winning that battle.
I could also be able to travel to Dubai, become tax resident in Dubai as well. Cash out my dividends from my Cyprus company to my Dubai bank account.
You could become tax resident in many countries, but it wouldn't help you in any way if Sweden still has a claim against you.
Option 2:
Stay in Dubai for 190 days. Form a Dubai company. I have to sell everything that I have in Sweden, including Apartment, car, mobile subscriptions and so on. Basically cancel everything I have here and make a move to Dubai.
You probably don't have to sell it, but you can't have a permanent home in Sweden.
You should probably be able to keep it and rent it out. Then it's easy to prove that it's no longer your own home.
I am only allowed to travel and visit Sweden up to 180 days and maximum 3 months at a time. (to be on safe side lets say I would only visit Sweden for 3 months a year only during summertime).
The Dubai company would now somehow need to be able to be VAT registered in EU, it will probably be much harder to have PSP, continue agreement with 3PL warehouses, probably much harder to import goods to EU also as well as make the reports for VAT (both import and sales vat).
I don't think VAT registration should be a problem. You may have to appoint a VAT representative in the EU, which could probablt be a family member or an accountant.
But I don't have any experience with this.
Let's say I do not want to move from Sweden at all. I want to stay in Sweden 365 days a year except for some short holidays.
Can I still form a Cyprus company, dissolve the Sweden company and have all the company profits generated being taxed in Cyprus only?
Only if you hire local staff in Cyprus to run everything. You have to be able to show you're not involved in the business, you're only a passive investor. And you can expect that the tax authorities might take a closer look at such a sudden change.
And even then, CFC rules could still become a problem, though it's less likely if the company is in an EU country, simply because they can't go too hard after EU companies compared to non-EU companies.
If this option would not work. Would it work if my Swedish partner living in Turkey would be the director and major shareholder here?
You can't be involved in the business at all. If you do any kind of work from Sweden, they will try to find out how much value was created by you from Sweden, and that part of the profit will be taxable in Sweden (this is called permanent establishment or fast driftsstalle).
This is the problem with such an online business vs. something like a hotel or restaurant where you can easily show "look, I have a general manager in the hotel in Cyprus, he makes 100k per year, I'm just a passive investor".
In theory, you could have an office in Cyprus and only work 2 days per week from Cyprus and have 5 days off, which you spend in Sweden. In theory, then you might be able to explain that you really only work from Cyprus and that the company should only pay taxes in Cyprus etc. - but I doubt that the tax authorities would believe that. They would probably still say you also work from Sweden.
I'm not sure if there may be some wiggle room if you can show that you have a proper office with employees in Cyprus and you only have a home office in Sweden where you sometimes reply to emails etc. (so everything is just online), but I strongly doubt it would work.
If your partner was owning 100% of the company and you were just a simple employee, then maybe working from Sweden might not be considered a permanent establishment (but you should still have to check this with a lawyer). But then he'd be owning everything, I doubt that's what you want.
But please, please, please get proper legal advice for this and only take it as a baseline for what to ask a lawyer about.