Natrose.
Don't take this the wrong way, but have you ever been to Benidorm.?
Poor old Benidorm doesn't half get knocked down,
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usually by people who have never been or base an opinion on some tv show or a journalist.
Blackpool by the sun, kiss me quick hats etc
Some people just cannot accept that Benidorm has moved on.!
You say in your post that you "like to sit by the pool"...well the hotel Pelicanos has one of the best pools in Europe.
You like to "walk to the beach", well Benidorm has 6 km, that has been awarded the coveted blue flag year after year.....it is cleaned every night with the exception of Xmas day...it is their pride and joy! infact the sand is that good, they export it to other resorts.
Poniente beach is the quieter and is where the old town is situated.
For your daughter there is.....
Mundamar
Terra Mitica
Terra Natura
Aqualandia
http://www.benidorm-spotlight.com/guide/theme_parks.htm
http://www.benidorm-spotlight.com/all_year_round.htm
The town is so diverse, that you can do whatever floats your boat
Stay in the Levante side of town that is a typical Brits corner, or walk up to the old town and be engulfed in Spanish tapas and shops.
There are many excursions available daily to explore the surrounding area, like the Algar waterfalls where a TV commercial for a famous shampoo was filmed....or spend a day in the city of Valencia
Look beyond the high rise buildings and you'll find a gem of a place.
SanJi x