Overall had a nice stay at Betsey & Jack's. There are pros and cons to staying in Bywater.
PROS: Bywater is a cute neighborhood just above the French Quarter. Betsey & Jack's place is in an awesome part of the neighborhood. Satsuma cafe is around the corner and very good. Bacchanal Wine Bar is awesome! Betsey & Jack's apartment has a lock panel on the door with a code which made getting in and leaving very easy. The place is decorated nicely. It was a pleasant surprise the bathroom is stocked with basics. Super comfy bed and quiet at night.
CONS: Bywater turned out not to be the most convenient location. It's not a far distance, but its not close enough to make multiple trips per day back and forth. I was told by multiple people not to walk in Bywater at night. Bywater is separated from the French Quarter by a remote train track area. Ended up planning days around staying in the French Quarter/Garden District area for the whole day as it was inconvenient to make trips back and forth. Also, I wasn't able to get the hot water for long in the shower (they had just started having issues with it) and had to plan around showering elsewhere. Betsey was very sweet and offered to give me access to their gym facility and also a discount for the inconvenience.
Overall, it's a super cute place and if you want to be in the Bywater neighborhood I would highly recommend it. If not, I would stay in the Garden District or downtown area.