Transgender policies for immigrants

[TardisBlue]

Hello everybody ,
I am a trans guy. I am 18. Currently I am living in a country where changing a name to that of different sex is illegal (Lithuania). It doesn't matter if you transgender. Physical transition is also impossible here. I feel stuck. I'm on the edge and I have to get out. I'm looking for a country that I could emigrate to. So I would be grateful for any information on USA, UK and basically European countries that have trans positive laws (like Denmark, Netherlands, Sweden etc.). I'm not planning to go back in my country.

So is there a country where I could change my name and pronouns without citizenship and physical transition (I want to change my name as soon as possible, it's killing me)?
Also I really really struggle with money and I heard that there are countries which cover testosterone, top surgery costs? Which are these and could I get it if I'm not a citizen?

Thank you everyone who answers. I am so lost. I don't know where to go and what to do...
-Paul 

[tgchar21]

In the U.S. as long as you meet that particular state's/county's residency requirement (many states require that you have been a resident of the state/county for a certain length of time - I think a few don't have any length requirement as long as you are a bona fide resident, while for example Michigan has a one-year residency requirement) anyone, citizen or not, can file for a name change (I'm not sure about illegals though, but I do know that applies to anyone who is authorized to legally live here). The challenge, of course, is finding a visa you could immigrate on.

[OreSama]

I don't know about the policy on name changes and top surgery here, but I do know that HRT is covered in the Netherlands and since Lithuania is part of the EU, immigration isn't that difficult.  On our immigration papers, it says that you just need an EU passport to be able to live and work here, but if I'm getting something wrong feel free to correct me.  I don't have to worry about medical costs here even though I'm an immigrant, so there's that at least.