I have stayed in La Siesta and San Luis which are on the edge of Torrevieja, it is 5km to the centre, I like this area because it is quieter and is made up mainly of individual villas, similarly in San Luis, but there is a square in San Luis where you can get a coffee or any drink, a few eating places, a shop with english owners who are very helpful, and a couple of other businesses. La Siesta also has bars and a restaurant and El Chapperal which runs alongside La Siesta also has plenty going on. Regular buses go to the centre of Torreeja from these habitations. Also for 5euros you can catch a bus to Alicante and take in the sights there. I have stayed in Los Altos which is by Torrevieja Hospital but it is very compact and there always seems to be cranes around building yet more apartments etc. I really hope that you enjoy Spain and all it has to offer. Good luck & best wishes
Pat