Thanks for all the great input!
My chicks were going bonkers last night in their brooder. They are ready to explore the world and got rather brave the last few days. They started to use me as a ladder to climb on to even get to higher ground. They are also not afraid of the dogs whatsoever. The dogs seem to be still fine with them and happily lick up all the poop they can find. So far I let them out in the backyard for about 30min in the morning before heading to work and then again from 4 to 6pm. Still, that was not enough for them yesterday and they loudly demanded my attention later in the evening.
This morning I have set them up outside in the run part below the coop. I have put a blanket around two sides and set up a heat lamp shining in from the outside of the run. I hope it is warm enough for them but they had to be outside of the brooder for their own sanity. Tomorrow they will be six weeks old.
Tonight I will put them back into the brooder for night time since it is rather chilly at night in San Diego at the moment. I want to set up a heat lamp in their coop but couldn't figure out how to do it safely this morning.
I have thought more about how to make the coop/run predator safe and my plan for now is get some garden stone tile at home depot and set it up around the coop so no one can dig a whole under it. Hopefully that will keep diggers out. Plan B would be to get hardware cloth, attach it to coop and burrow it down and out like an apron. Stone tile seems easier, you guys think that would be enough? Like 40 inches of tile around it?
Next I am planning to make a chunnel that leads to a bigger run. For that I am planning to use the area (see pictures above) next to my house. Probably set up a fence and then a tarp on top. Hopefully that is safe enough for daytime use?
I decided not to put the whole coop next to the house because I want to be able to see the chickens and their coop and not have them tucked away next to the house. When we are at home I am planning on have them free range and use the run area for during the week and when we are away in general.
Some late night shenanigans:
Their set up for today: