I love LA. Have only had a couple of 'stopover' trips there, but loved every minute of it. We stayed in Santa Monica, great for shopping. However, I wasn't looking for anything special e.g. bargains so can't help you there I'm afraid.
We went to Universal; huge, fabulous, great fun (and that was pre kids ) it should be pretty easy to book all those tours from your hotel or find a travel centre. We also went to Knottsberry farm (??) which is not a farm at all but a theme park with some great rides!! I think it has the world's first or oldest wooden rollercoaster and believe me, all the creaks make for a much scarier ride I think this place was recommended to us because we didn't have young kids though.
Great places to eat, brilliant American breakfasts, where they bring you coffee as soon as you sit down, just like the movies! Oh, and pancakes like I have never tasted!!
Everyone was very friendly too, people would pass us and say "hi" for no apparant reason other than to be friendly and loads of people stopped to tell us how cute our dd was
Lots of people I know slate it, but I say, take it for what it is; a huge, sprawling city with an economy bigger than some countries and then you'll have fun!!
PS. We used Lonely Plaent guide to LA.