I went to Palermo for 1 month, for workation. I decided to stay at Deborah's apartment and it was a very good choice.
1. The place is in a perfect location – between two districts, Kalsa and Vucciria, pretty much in the middle of the old Palermo. From here, it's no more than 15 minutes on foot to all the most important spots that you might like to visit. I needed to take a bus/train only when traveling to Mondello, Monreale, and to the airport.
2. The Kalsa neighborhood itself is simply charming. Part "old Italian town", part "artsy", part industrial. Of course, you need to like that kind of vibe but for me it was great. Also, lots of awesome food and drink spots no more than 5 minutes from the apartment. Make sure to visit: Scolapasta (for carbonara and cacio e pepe), Gelateria Al Cassaro (for ice cream in a brioche), Pizzeria Sicula (for pizza slices), MAD (for burgers), Monkey Pub or Extra Hop (for craft beer), Bar Caffeteria Jasmine (for cheap drinks with local people), Porta Carbone (for pani ca meusa), and Corso Vittorio 113 (for a cornetto-and-coffee brunch). Also, if you like art from 1800s and early 1900s, then the Modern Art Gallery on Via Sant'Anna is your hidden gem.
3. The apartment isn't really big (I wouldn't advise more than 2 people to use it) but it has almost everything you might need – from a pretty well-equipped kitchen, to a big wardrobe with clothes hangers, to a hair dryer, to a steam iron, etc. The only important thing that you might miss is a washing machine. I used a laundry called Blue Bubbles (10-15 minutes on foot) which costs around 5 EUR.
4. The apartment is pretty dark, especially the bedroom. If that's a huge problem for you, you might want to look for another place. However, if you just need a sunny spot nearby where you can go every once in a while, there's an awesome patio in the building, full of sun and green plants, with chairs, and a small coffee table.
5. I really needed a proper internet connection, as I was working remotely on some days. Fortunately, Deborah provides you with a fiber connection that works pretty well. Nothing too fancy, but reliable. The only times when the connection was missing was in the middle of the night (like 1 or 2 AM).
6. Last but not least, Deborah is very friendly. My plane arrived pretty late but it was not a problem for Deborah to check me in around 10 PM. And when I was looking for a place where I could print a ticket for an opera show in Teatro Massimo, she just offered to print it for me.
All in all, if you're planning to stay in Palermo for a few weeks, and your plan is to try and see "the real city", I think Deborah's apartment would be a great choice for you.