So I have a few issues. The north side of my house does not get enough sun for my bermuda to grow. So I want to just put flowerbeds in.
To give a visual. The following picture was ~8AM in the morning.

By 11AM it looks like this...

I am wanting to put in a flower bed *roughly* like this. I actually might expand it slightly more (2-3 more feet out).

This would seem easy enough...however...this area stays wet all the time, more so near that jut out of the house. The AC drainage line is there, it doesn't get any sun, and I don't feel it drains all that well away from the house.
So the question is, how do I properly build a flowerbed where plants won't die from root rot? Should I just bring in some dirt and build it up 2-3 inches and then put mulch on top of that? Should I get a sod cutter, cut up all the bermuda, then fill it in with dirt to build it up again 2-3 in. above the current sod (e.g. just more dirt if I wasn't going to cut up the sod)? Can someone walk me through what they would do?
Now for the second issue, which is kind of related...if you spin around 180 degrees from where the above pictures were taken you will see my second issue...
these pictures were taken during a downpour, but you can see from the following pictures where water flows out towards the drainage ditch.
This picture you can see water down near the fence running towards the drainage ditch.

This is a better picture of the water.

Now this area WILL eventually completely drain, and no standing water will be there 24 hours after a rain. However, that area near the fence will be effectively saturated and super wet, with moss, and algae. I don't think I would need to add a ton of extra drainage, but something to get the moisture out.
So looking at this issue separately what could I do to get this water out of the area? Would a french drain along the fence line work? Any solutions that won't completely destroy my lawn? Now the question is...should I be looking at these drainage issues the one near the house and the one near the fence in conjunction with each other? (e.g. should I install a french drain from within the area near the house, to connect to a french drain going down the fence?)
Any input/suggestions would be appreciated.
To give a visual. The following picture was ~8AM in the morning.

By 11AM it looks like this...

I am wanting to put in a flower bed *roughly* like this. I actually might expand it slightly more (2-3 more feet out).

This would seem easy enough...however...this area stays wet all the time, more so near that jut out of the house. The AC drainage line is there, it doesn't get any sun, and I don't feel it drains all that well away from the house.
So the question is, how do I properly build a flowerbed where plants won't die from root rot? Should I just bring in some dirt and build it up 2-3 inches and then put mulch on top of that? Should I get a sod cutter, cut up all the bermuda, then fill it in with dirt to build it up again 2-3 in. above the current sod (e.g. just more dirt if I wasn't going to cut up the sod)? Can someone walk me through what they would do?
Now for the second issue, which is kind of related...if you spin around 180 degrees from where the above pictures were taken you will see my second issue...
these pictures were taken during a downpour, but you can see from the following pictures where water flows out towards the drainage ditch.
This picture you can see water down near the fence running towards the drainage ditch.

This is a better picture of the water.

Now this area WILL eventually completely drain, and no standing water will be there 24 hours after a rain. However, that area near the fence will be effectively saturated and super wet, with moss, and algae. I don't think I would need to add a ton of extra drainage, but something to get the moisture out.
So looking at this issue separately what could I do to get this water out of the area? Would a french drain along the fence line work? Any solutions that won't completely destroy my lawn? Now the question is...should I be looking at these drainage issues the one near the house and the one near the fence in conjunction with each other? (e.g. should I install a french drain from within the area near the house, to connect to a french drain going down the fence?)
Any input/suggestions would be appreciated.