New hosting required

I have recieved a message from my wehosting that in order to be upgraded to php 5.7 they need to do a new empty installation. So that I have to redo the whole installation from scratch.

I am not a very experienced user, and obviously don’t want to lose the site that I have already done. At the same time I can’t continue to use the site as several options do not work properly on old php version.

Could you please advise what I should do? What steps to perform to save the site and move to new empty hosting?

Thank you
Katja