B.L.
Jennifer - welcome to Seattle. Hope you love it up here. It's a far cry from Texas in a lot of ways but I have a number of LoneStar friends who seem to have adjusted. :)
I live in Greenlake. I love it - it's a great neighborhood for families and for children. The schools are good and you'll have easy access to everything downtown has to offer as well as the city zoo and,as you know, one of the greatest inner city parks around.
That said, commuting to the eastside isn't going to be much fun. My friends who do the commute say it takes about 45 minutes but, as everyone else has indicated, it depends a lot on the time of day and even the weather. We actually have slowdowns for sunshine here (mostly because it can be so low on the horizon it is directly in the windshield)!
If you and yours decide on Greenlake and you want to get together for coffee - or have any other questions - please let me know. I'm one of the last reamining Seattle natives and think it's in my job description to help out transplants. Good luck!