My 2yr old granddaughter lives with me permanently.
I have a 7yr old rescue german shepherd dog, but he has lived with us 6years.
And a 13yr old dachshund.
I have stairgates absolutely everywhere during lockdown a 2year old and 2dogs was a nitemare, constantly separating dogs and child everytime a piece of food was introduced.
Both my dogs were brought up with children and trained with them.
BUT, I never ever leave them in the same space when I'm not there, even though the German shepherd can jump the gates.
I have just retired the dachshund to my mums. He has lived with me since he was 8weeks old and was bought up with a child, but it was just too much with gates and a 2year old. I was pulling my hair out.
When she was a baby the dachshund alerted me to her choking in her pushchair and absolutely loves her to bits but I never trusted him with my granddaughter around food even though he has been in a family home 13years.
She, my granddaughter would hug him all the time and it was just too much of a risk with her putting her face in his. The safest thing for everyone, and for my sanity, and allow the dog to receive all the love he deserves to be with my mum. He still comes to stay (mum is my bubble) and it's hard work again with the gates.
I have one dog here now and it's easier. My granddaughter feeds him, tells him to sit and then we separate while he eats.
He doesn't get as much love and attention as he deserves. He spends a lot of time in his kitchen bed in front of stair gate watching us in living room, this is a combination of his choice and giving him time out as a 2year old is incredibly active. Although hes a brilliant dog and a rescue, I wouldn't put him in a position of being alone with her which makes everything much harder with gates everywhere.
He can jump these, but he doesn't usually unless hes on his own.
Hes incredibly well trained and intelligent.
But I would not bring in a new dog into the mix with s young toddler, not only is it not worth the risk, but it's hard work training a new dog and a toddler!
You cannot relax until baby is in bed every night, and with a new dog; Potty training - for dogs and toddler !
Food handling.
Meal times.
Walking a toddler and dog on reigns and a lead is a nitemare.
Training a dog to walk nicely with/without pushchair.
When is the dog going to be able to settle and fit in and get the training it needs from both adults ?
Otherwise you have the issue of 1 adult controlling the dog, and if it's not the parent that is home all day you have other issues later on.
All of that aside, it is not your decision to take, sorry.
But I wouldn't take on a strange dog with a toddler, and I've had dogs all my life.