Is this a once in a blue moon kind of thing, or the start of a regular pattern?
I'm sure it would be a little easier at your place, all your daughter's stuff is there, she could nap in her own bed if needed, etc. If you previously had a great relationship with MIL, then it might be fine. But if you suspect MIL will be snooping or judging, or if you don't want to establish a precedent that it's ok for for her to come over all the time - just say no. Tell ex you'll pack some of her toys etc to go with her, just be sure she brings them home. Or just say no. You are allowed to do what is best for YOU.