You can also use Amazon RDS (their version of MySQL is in the cloud) and completely refuse to work with the MySQL server (you will pay a little more for the server instance, but you can take database snapshots / etc.).
Amazon RDS currently supports five classes of database instances, starting at 11 cents per hour, up to 3.10 per hour:
* Small DB Instance: 1.7 GB memory, 1 ECU (1 virtual core with 1 ECU), 64-bit platform. * Large DB Instance: 7.5 GB memory, 4 ECUs (2 virtual cores with 2 ECUs each), 64-bit platform * Extra Large DB Instance: 15 GB of memory, 8 ECUs (4 virtual cores with 2 ECUs each), 64-bit platform * Double Extra Large DB Instance: 34 GB of memory, 13 ECUs (4 virtual cores with 3,25 ECUs each), 64-bit platform * Quadruple Extra Large DB Instance: 68 GB of memory, 26 ECUs (8 virtual cores with 3.25 ECUs each), 64-bit platform
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