Rita's is an excellent place to stay for a quiet, but in-the-know visitors to New Orleans. I have no hesitation recommending this location, and will break down the various benefits we encountered on our stay:
The accommodation itself: It is indeed small, but big enough for two people. We traveled with a backpack each, and two carry-on wheeled bags. There was some getting used to because this isn't massive. But it is the definition of cozy. The area is modern, incredibly clean, and very peaceful. The bed, and bedroom, were so inviting that it was hard to get up in the mornings. The courtyard with a little pond, and chairs to take coffee or relax, were so very nice. You have a very private space. The bathroom was also up to date, and the inclusion of nice shampoo/soap is a big bonus. We never had any issue with being too cold or warm, either (which has been a problem in other spots in New Orleans).
The neighborhood/location: The Marigny/almost-Bywater area is where you want to be for a chilled out local vibe. This is not the French Quarter, but it is very walkable. The Quarter is maybe a 15-20 minute walk away. That walk is safe and gorgeous (and it's also about an $6-7 Uber ride from the far end of the Quarter back to the location, so if you don't feel like walking, it's easy to ride. From the convention center, it's about an $11 ride).
The area is great for cool local bars and amazing cuisine (beyond just the traditional Cajun food), close to the music and food on Frenchmen St. Take a stroll, and you'll find cool coffee shops, music venues, and restaurants that are filled with friendly locals, but also have a reputation for excellent food. I strongly advise eating up all the classic NOLA food you can, but also trying places like Pizza Delicious, or Red's Chinese, or Mimi's for tapas to break away from the standards, and see what else this town can do great.
The host: Communication was superb with Rita. She was always easy to speak with, and accommodated our late check-out, and arranged for us to drop bags early. We only met her in person once, but she was very sweet, and incredibly easy to deal with.
I recommend Rita's location without hesitation. If you're looking for huge and spacious, this may not be the place for you. But if you want charming, inviting, cozy, relaxing -- with a great location that is both quiet but close enough to the heart of the Quarter, this is for you.