Predictably, I'll suggest a Vita, I think at least some of the models can take a front rack, and it will also take slighly bigger tyres which you might want for comfort and stability with the extra weight up top. I think many childseats come with their own rack, which tends to be heavy.

Would a touring bike work too?

I used a trailer, but here they are generally cheaper than buying a whole new bike.

Whatever you choose, it's lovely riding with a little one, they are so chatty and happy, often followed soon by being fast asleep.