To start off aero ported boxes are smaller than a slot port box with the same airspace. You can use less port area and still avoid port noise (to a point) using a aeroport. Aeroport boxes are easier to build. As build a box, add some bracing and cut your holes. Some say aerospace can get louder, but I don't believe that. It's all in your design and building quality.
Some cons of aeroports are it's hard to get the exact tuning you want, harder to get exact port area you want, and somthings can be tricky to design as you don't want your port to close to a wall. So somthimes it's hard to find where to put your port in the box overall I like aeroports more personally.