From what I can tell, as long as you get a visa from any of the countries, you're permitted to freely travel throughout most of the EU, presumably you could also move around a bit, although I'm not sure on this part.
My dream here is a spend at least two to three months In Europe, and if if I can get a visa maybe a bit longer.
Another option would be to spend two months or so in Europe, and then go to Turkey for a couple of months, maybe an Asian country for a couple of months assuming they want to open up. Up.
Fortunately I have a bit of money saved, so I'm looking to spend this time working on side projects and traveling.
Turkey: super easy! rent an apartment (one year contract) and get their "touristic visa" (ikamet https://e-ikamet.goc.gov.tr/ ) which last two years, and is a visa that let you be "resident" there while keeping your resident wherever it is (where you pay taxes). If you are a sailor, a one year contract in a marina (any size of boat) will let you have 2 year touristic residency.
as for Europe you could stay up to 6 months, then a French (idiot) administration started a fight with a romenian citizen and ... the result is that now if you stay 3 months, then you have to stay 3 months out (the EU, another smelly group of bureaucrats unable to write a clear law and scared of losing votes, confirmed)... anyhow, let's do not touch the issue, or I get so mad and embarrassed of it.
so... europe, you can go there as a tourist: of couse you will do your remote job, and nobody will care.
you mention money: ahahah, big solution, even if you come from the poorest/most terrorist country in the world:
1. you either have no money, so, in that case, you have to cross the med in a shitty boat, pay a lot of $$$ to human traffiker, so sure risk your life... just to realize it will take you 10 years to be able to have a decent living (if you make it), or
2. just pay and (legally) get our EU passport: YES it is so easy: you can get the passport just by paying for it: it sound and it is hypocritical but this is the simple truth: and it is not just Malta, search yourself.
Let me add, just to be clear, that this whole EU fortress if a monument to hypocrisy: of course it is not easy to just open borders (since of course we, european, want to keep being the privileged taking advantage of all the poors in the world, while wearing a tie or a smoking, or a Cristian priest dress) but you cannot really put together the "no border" model of the internet, and the stupid 3 months only visa a relative of yours (or even your wife) is obliged to respect.
respect my ass!
If you want to stay longer you have to research countries that offer long-stay visas. Requirements vary and will depend on your nationality and income.
Generally you’re not allowed to work in a foreign country unless you have a work permit or visa that allows work. As a practical matter if you’re working remotely on a laptop you probably won’t run into problems, just don’t tell anyone you’re working. When you arrive in a foreign country and immigration asks the purpose of your visit you say “tourism” unless you have a visa for business, work, or some other purpose.
You should check out the digital nomad forums. nomadlist.com is the big one. Reddit has an active digital nomad forum.
If you want to travel across EU I think you need shengen visa.
But I would advise you to just google trivial questions and not expect to get handled answers