Re: When it rains, it floods.
Sadly, just about anything that can be done without a fairly serious overhaul may merely be a bandaid.
If your watering system is adequate, you might be able to get by with regrading to promote natural run-off, or at least run-off towards the drain system. You might be able to have the drain system roto-rootered to clear clogs and roots, but if it was installed improperly, then replacement will be necessary. After regrading you can either resod or seed, I prefer sod because it's faster and you can use your yard almost immediately afterward, whereas seed will take at least one season before it's usable.
I suffer from CDO ... Its like OCD, but in alphabetical order, LIKE IT SHOULD BE!!!