Our stay at Lawrence's place was everything we'd hoped for. The appartment is beautiful and clean and Lawrence and his wife were impeccable hosts. They picked us up from the airport and dropped us off again. We were allowed to spend an extra afternoon in the appartment, as our flight got cancelled. Thank you so much for that!
As for the area: There's supermarkets, restaurants, coffee shops etc. right around the corner and a main bus stop is just a short walk away. Malta has a very good and closely knit bus system and it was easy to get around the entire island.
Overall: Absolute recommendation to stay here! Thanks again, Lawrence!