I'm also in the process of signing up. I already submitted the application for life insurance and filled out the membership application form by Alcor. The next step then is to meet up with a notary and transfer ownership of the insurance policy to Alcor. After that, Alcor has to check the documents and then I will hopefully be a full member.
I've also heard rumors that Alcor is considering opening a new facility in Switzerland. But even if that's true it will take years and will probably not be cheaper than storage in the US. Though maybe easier to sign up for.
Concerning your second question, from my understanding adequate cooling is really easy, keeping the body in ice water should be enough. That's also how they preserve donated organs, I think.
What are the best options for cryonics in Europe?
AFAIK the best option is still to use one of the US providers(e.g. Alcor) and arrange for transportation. There is a problem with this though, in that until you arrive in the US your body will be cooled with dry ice which will cause huge ischemic damage.
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