We have two mini wires. One is very 'breed typical', the other not so much. I think they highlight that character is very much dog dependent, not breed. Both trained the same, both completely different dogs in every way.
One is the most laid back creature you could ever find. Happiest on the sofa, flat on his back, legs in the air. Really obedient, a superstar. Can take him anywhere, and he'll behave impeccably.
The other is an absolute total nutter. He had a tendency to climb the bush in the back garden - long since removed for safety purposes! Has the typical dachshund selective deafness, does what he wants, when he wants, how he wants - training was a complete and utter waste of time. Royal pain in the arse, but very lovely.
Both are fine with small children, never had any issue at all. We don't have cats, but have plenty of squirrels... unsurprisingly one is better than the other!
We have steps up to all of the sofas and a gate on the stairs so there's no bombing up and down, when they come up they're carried. Beds scare me witless, so they don't come on them. The good boy would be fine, the looper would be off the side like a lemming.