Cleaner way to delete files on Linux which include a datestamp as part of file name

I have a new requirement to purge MySQL dump files that are older than 30 days. The files use a naming convention of “all-mysql-YYYYMMDD-HHMM.dump”. The files are located on SAN mounted file system, so restoration is not an issue, but the drive space is limited unfortunately and fills up quickly so it requires frequent human intervention.