Nichole, I feel your pain. I had that problem in my very small yard for many years, until I decided to literally dig deep and burry a bunch of wood chips in the trenches and built also a french drain.. however, you don't want all that water to be drained away, you want it in the soil...going down to feed the roots of the plants. Consider building up swells, talk with permaculture designers, get a good idea of how swells work and you should fix that problem. you can add more mulching, chips and raise up the beds, but that still will not solve the issue of standing water.
I am redoing my N. side bed again, as I resolved the standing water, but the laurel of the neighbours have invaded the area..so i am digging deep and putting a deep barrier, hoping to keep those invasive roots away until my plants establish. It is my best sunny spot. I want to plant some figs there.
A full truck of wood chips dumped last year...and it does not even show any sign.. it is all gone, turned to soil. and no standing water at all.
You have a party, and friends will come over to help you get it going. Count on me.
That you live in flood zone, right?