I have been thinking of ways to manage my backyard. All the water from my neighbors front and backyard goes into mine from the left. It then travels across my yard, gathers in bumps (we attempted to fill a few in - hence brown spots) and then overflows to our neighbor to our back right. I am a bit concerned about wetness against the foundation, but as our basement is mostly above ground in the back, I think it should be fine. My major concern is that my backyard is marshy and we get tons of mosquitoes in the summer.
I have been thinking of putting two dry wells in my backyard to bring the water that is sitting at the surface underground and connecting the runnoff from my gutters with underground pipes. I was also thinking of putting French drains under the swale to help absorb the runoff. I will post a few pictures. It is pouring and you can get a good idea of the layout of my yard from all the pools.