Removing Data off a Software System

We are migrating software systems, and having been on one software system for the last eight years, once our contract has ended they will no longer host the data on our existing environment. I would like to manually download all the data on the system, things like invoices and employee records, amongst other things, so that if I ever need to refer back to it, I can do so.

I would like someone to go section-by section through the system, and manually download all relevant data. I would estimate that this may take around 1-2 weeks based on the amount of information in the environment.