You can download your data from these services at any time before you commit a ToS violation.
And how do you download all your Google Analytics data? This page on the Data Liberation page suggests that you export to XML, Excel or TSV. http://www.dataliberation.org/google/analytics But to do daily backups of all the dimensions, metrics, advanced segments etc. would be very time consuming. You could do it easier with the API, but that requires programming knowledge.