There are pros and cons with both.
Airbnb's--they are usually cheaper, though not always. They may come with amenities that hotels charge for, such as washing machines. However, their biggest issue is the lack of objective reviews to guide you how to choose the right Airbnb, which shuts down negative reviews. Airbnb is a dirty business. To protect their image, they try everything to not post negative reviews. Also, Airbnb's lack professional standards as they are unregulated. They are very inconsistent. Some are very good. But some can be old homes with weed smokers or noisy old pipes. One home even gave me bed bugs (and I had to move out in the middle of my trip). I never chose cheap Airbnb's, by the way. I have stayed at Airbnb's over 50 times, but I stopped using Airbnb's three years ago. By the way, the home that gave me bed bugs was not in some third world country, but Singapore, one of the cleanest places in the world! After I moved out (I didn't have to pay anything for my stay, luckily), Airbnb did not give me a chance to write a review on the owner.
So, if you want an apartment, try using booking.com. The reviews are much more objective. Alternatively, some hotels or B&Bs are equipped with washers that you can use for a reasonable fee.
In Paris, you can stay in most areas, just avoid those in the far north and the far east. No matter what, be careful with your belongings. Crime has increased significantly over time.