Backed Up Files Need to be Named Depending on the their Contents!!!

My Sincere Thanks to all you amazing Developers for giving us this really Must Have Module (Which should actually be a part of the core)

I Just have a small Issue though:
Since at any given time we can backup only 1 of either :
Default Database OR Public Files Directory OR Private Files Directory

Current all the File Names assigned to the backups all have the same naming convention (Sitename + Date & Time + Compression File Type Extension) with only the differences in the date & time

Unfortunately as of now we don't have a option to Backup all (which would create One backup file with all the database and public/private files.) for which the above mentioned backup file naming convention would make sense.

But as we have three different kinds of backups, It is best that we have at lest something to distinguish them from each other (other than having to look at their file sizes and try to guess what it may containing when trying to restore from the list of backup files being displayed.)

The solution is as simple as adding a prefix or postfix to the currently present format of the backup file name as explained below

Considering the PreFix/PostFix could be something like: {Please decide whats best}
For Database Backup: "DBBackup"
For Public Files Directory Backup: "PubFDBackup"
For Private Files Directory Backup: "PrvFDBackup"

PreFix + Sitename + Date & Time + Compression File Type Extension
Eg: For Database Backup
DBBackup-[Sitename]-[Date & Time].tar.gz
For Public Files Directory Backup
PubFDBackup-[Sitename]-[Date & Time].tar.gz
For Private Files Directory Backup
PrvFDBackup-[Sitename]-[Date & Time].tar.gz
[OR]
Sitename + Date & Time + PostFix + Compression File Type Extension
Eg: For Database Backup
[Sitename]-[Date & Time]-DBBackup.tar.gz
For Public Files Directory Backup
[Sitename]-[Date & Time]-PubFDBackup.tar.gz
For Private Files Directory Backup
[Sitename]-[Date & Time]-PrvFDBackup.tar.gz

I hope I have been able to be as clear as possible.

Thanking for your Time and Patience...