Yep so it will be about a little over an hour if you take the train.
You could live in this home for example for sale at $745k (I saw you wanted around 800K).
3462 EBOE, Irvine, CA | California Real Estate | Listing Information
It is a slightly older home, but has been redone nicely and has a pool. The local elementary school, College Park Elementary, is just a short walk down the street in the center of the neighborhood. It is rated a 9/10. Venado Middle School is about 1.5 miles away and rated a 10/10 and your kids could probably walk the 1 mile to Irvine High School rated a 9/10. Irvine Unified is a very good school district, but I'm sure you already know that.
There are also several large parks nearby, including the one next to the elementary school and shopping is all right where you need it.
The best part is that the Tustin train station is just 1 and half miles away. You exit the neighborhood and turn left on Harvard, make a right on Edinger and the station is on the right. So, for your commute:
Drive to Tustin Train Station (3 minutes)
Then there are three trains that fit your time frame of 6-7AM departure
Train 603 departs Tustin 6:12AM and arrives at Union Station in LA at 7:20AM.
Train 605 departs Tustin 6:42AM and arrives at LA at 7:50AM.
Train 683 departs Tustin at 7:11AM and arrives at Union Station at 8:15AM.
OK for transfer to a transport to the center of downtown (Union Station is just outside downtown). It depends on where you work in downtown and which buildings, but once you are in there, it is fairly small and all walkable.
So, after your train arrives, go to the Red Line Subway with the head sign "North Hollywood." The subway trains leave every ten minutes. So if you took train 603 arriving at 7:20, just walk down to the subway and hop on the subway to 7th street at 7:27 AM. In five minutes you arrive at 7th Street Station and are in the center of downtown and can walk to any building you need.
The way home is just the reverse of this commute:
So, the time added up:
Drive to Station: 3 minutes
Wait for train: 5 minutes
Train Ride: 65 minutes
Transfer to Subway: 5 to 10 minutes
Subway Ride: 5 minutes
Walk to your building: I don't know how far you'll be.
So you at 83 minutes or 1 hour 23 minutes. If you want to live in a community as safe and good for raising a family as Irvine, then this is probably your shortest option for a commute. And let me tell you, this is much better than the drive up the 5 freeway at rush hour which is so so so so slow. I think the 5 freeway is at least two hours from Irvine.
The cost: A monthly pass for the Tustin to LA route is $228. With a regular car, you probably will be filling up at least once a week, maybe even more with that distance at about $45 or more per fill up. So the train is probably going to be cheaper too.