My dad has lived there for nearly 10yrs now and i lived there for a while too. Costa teguise is lovely for family, but it is quite the windy area lol!
Puerto del carmen is the nightlife area, pure bars and clubs and resteraunts.. the day life there is lovely though, the beach is very long and the shops are tops! You can always stay in Old Town Puerto del Carmen where its quieter and a short walk into puerto del carmen, it has a shopping centre there too. The water park in Teguise is wicked lol!
I found the nicest place to live was Playa Honda (we've lived all over lol!) its full of cheap shops and it has a lovely beach there too where u can watch the planes take off and land. Also Playa Honda benefits from Deiland, which has all the shops you need, cheap supermarket, BOWLING, cinema, cafes resteraunts..kids play area, burger king lol, arcades.. Currently my dad works at Coral Beach resort, and we stayed there when i went away for the beginning of my pregnancy and it was amazing! By far the best resort ive stayed at so far! Jaccussi in your bathroom! Decent size apartment and only 3mins walk from deiland and less then 1 min from beach! There are lovely tapas bars on the beach front to sit and enjoy the views! I highly recommend Coral Beach in Playa Honda, and also Atlantic View in Old Town PDC was good, although there was a small hill to walk up and down to get to the shops..wasnt too bad with a pushchair tho.
Sorry to ramble, i love Lanzarote, its my second home
If i wasnt with my OH id live there with the kids! Especially Coral Beach! I cant stress how much i love that resort! The food is great too!
Also it was very peaceful while we were there, we had the pool to ourselves almost every day! There was only a couple of babies about once or twice, so it wasnt packed with screamers lol! The majority of people who go there have timeshare so they are mostly older couples which is nice! Noone wants a bunch of teens being loud and bombing in the pool
If u want any more ideas or anything or if u have any q's about any resort (ive worked on quite a few myself) then please feel free to PM me