It is not a good idea to be backing up your personal data to your web hosting account. If your website has a security issue and is exploited then your data may be downloaded by others. You should look for a provider that provides data backup service and not your web hosting account that is actively hosting a website to store your personal data.
After you have chosen a data backup service provider. Make sure all the data you backup is encrypted with a strong password and strong encryption. If your data backup service provider has a security lapse then your data may be breached by others.