Hey Derek ... what a coincidence! I'm originally from Stamford and spent many years in Norwalk as well. I moved to LA in January (to be with my boyfriend) and so far I really like it. I was lucky and found a job almost immediately ... which was my biggest fear before the leap into the unknown. Things have just been falling into place since.
I absolutely love the Getty. It's stunning ... however this past week there's been a shift in the weather. Foggy in the morning, clearing, then foggy again, like it was in June. No more reservations required but if you get there later in the day, parking is full. The trick is to either go early or later in the afternoon.
I don't know if either of you are into the whole outdoor/hiking thing but there are trails that start at the Grifitth Park observatory (unfortuately closed) and take you to the top of Mount Hollywood which looks over the entire LA Basin and the Hollywood sign. It will leave her breathless and you can give her the ring ... and leave her breathless again.
My very favorite place to go is Laguna Beach. Have you been down there? It's a great little town, parking's a pain but worth it. Reminds me of Martha's Vineyard or the Cape but with warm weather in winter as well as summer.
And there's always Disney Land!!
PS Cute puppy!