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This is what you need - Порядок постановки иностранных граждан на учет по месту пребывания и снятие их с учета

Well, by law you should stay at the place of registration, that's the whole purpose...

The problem is that registration of a foreigner is somewhat long and bureaucratic procedure and almost none of people who would want to rent their flats would want to go through that procedure. And...

That answers my first question :)

Well since you are to make money in Moscow and not to spend it(I mean you are not on vacation) you wouldn't be able to live in a hotel for a long time, you...

ну хорошо, давайте посмотрим какой у вас уровень русского, напишите что-нибудь, например о себе.
А почему именно Москва? Москва это дорогое место, довольно рисковано ехать туда не имея даже жилья, а...

In my opinion you shouldn't go at all
Here is why
1. How is your Russian? As you might guess Russians unlike, for example, Western Europeans don't know spoken English well enough to be able to...