My daughter loves ice cream too, having devoured an ice cream sandwich the very first time she ever saw one. Since one of the joys in my life is sharing ice cream with my family we have it quite frequently, sometimes at home and sometimes at Mora as a treat. If you find yourself at Mora, skip the vanilla (though it's my favorite flavor theirs is nothing special) and try one of the more unusual varieties (my current choice being banana split).
Mora is quite expensive so 9 times out of 10 it's either Alden's or homemade at home, vanilla both. In an effort to cut back on quantities with my daughter we've taken to eating our ice cream from our espresso demitasse. This is great both because it's still wonderfully satisfying to eat ice cream regardless of portion size and it's a natural for espresso over the ice cream, which is without question the best ice cream topping known to man!