Rent my home and buy a new one

[Nu Pogody]

I have equity in my current home that I would like to use to buy a second home and rent my first home. I am looking at building a brand new house and use it as a primary residence and then rent my old house. How do I do it?

For the new house I do not have to pay the full price at once as far as a know. There will be a deposit and few payments after that, so I am not sure how this will all work in time.

After I refinance my current home is there a restriction on how soon I can rent it out? Any other considerations to have in mind? Thanks!