I moved with a 17 month old recently (she's now 20 months). We packed up her room last and set up her room first in the new house. Thankfully I had a few friends I could call on at short notice (like a few mins notice) to babysit.
I advise that it's best to get people to take her for a few hours so she's not getting upset or in the way. My DD was really stressed for a few days so I tried to avoid letting her see everything packed up and in a shambles.