Looking To Find A Good Breed For A Household With A 3 Yr Old-preferably Medium-large To Large, But Not Huge!?

We had a house fire in oct/04 and lost our 2 cats & 2 dogs. We’re ready to have housepets again. It’s a no-brainer with the cats, but, we will be introducing my munchkin to dogs, since she is too young to remember the ones we had. I am curious as to what are good breeds to have with young children. The 2 dogs we had were very old and were not threats to the baby. One was a cocker spaniel, the other a golden retriever/daschund mix (imagine a retriever with 3 inch legs-he was just too cute!). I am a firm believer that children should grow up with a companion or two if at all possible, and I am ready to start over again with a new dog.
I will definitely be looking to adopt, and I am not sure if I want a puppy, or one that is grown and house-broken already.
We have also been investigating retired greyhounds, but they are kind of iffy with cats.
I will have to find something soon as this is an incentive for potty training that IS WORKING!!!
Do NOT want any small yippy yappy things!

Looking For Tips On Bringing A Previously Outside Dog Inside?

I have a dog we got a couple years ago at the pound. She appears to be a greyhound mix. Very energetic. Likes to stand on her hind legs and give bear hugs. I bring her in and put her in a crate when it’s cold but have never let her run around the house. She’s just so rambunctious. It’s not the potty training that concerns me as much as the fact that I have cats and don’t want her to torture them and I don’t want her to get on the furniture. Will it be impossible to teach her that she’s not allowed on the furniture when the cats are allowed? Any tips are welcome. Thanks.