how to move a domain safely?

[Jakudza]

i've finally bought a dedicated server and i'd like to move my domain (where i have all my free sites) to this server.

i'd like to know what should i do to avoid downtime and bans.

i've moved all files already and domain is in dns of this server for 3 or 4 days now. is it enough ? do you have any other suggestions?

thanks