Our daughter spent 3 years at the NATO base near Catania. We visited her there. They lived on base. It was typical of military installations overseas. Their place had 2 bedrooms, 2 baths and 2 stories.
While her husband was at work, she drove us around to many of her favorite places in Sicily. We absolutely loved it. Not being one to stay put on base much, she and her daughter (3-6 at the time) and sometimes her husband drove or flew to many places in Italy and the rest of Europe. The flights from Catania didn't thwart them at all.
We've also been to Lisbon. We spent a week in an apartment there in the Alfama district. We found the city unique and beautiful. And we loved the Fado.
I don't think you could go wrong in either location. Both would provide great experiences, assuming you get off base. Fishing is easily possible in both places. I'm guessing you are comparing the facility details of the military installations in both locations, so that could be a deciding factor.
As others have mentioned, Lisbon (population 545,000) will be both colder and a bit more convenient for getting to other places in Europe. Catania (population 316,000) will be warmer and more convenient for getting to other parts of Italy and to Greece. And the active volcano, Mount Etna, is close to Sigonella and Catania.
The food is good in both places, but we preferred the food of Sicily. That's with one Sicily caveat. Our daughter took us to a place quite close to the entrance to their housing area. She and her family loved it and went there often. We thought it was ordinary at best.
And with one for Lisbon -- the cakes are divine. The pasteis is great, but I particularly liked the alentejo cake.
I'm sure our daughter would be happy to discuss her experiences in Sicily with you. PM me and I'll put you 2 together if you want.
So when you decide, let us know if it will it be bom Dia or Buongiorno.