Divorce/WAW due to my infidelity Part 2

[crdcheck]

Heard from W that she's moving out a week from tomorrow while D3 is with my parents in my hometown (all week). She's started packing stuff (e.g. wedding China, half of kitchen stuff). It gives me fear to see it and I want to snoop ("what's she taking? where's she going?") which I have to tamp down.

Still haven't said anything to D3, not sure what W's plan is on this.

GAL is going well: I've applied to a local university for a certificate program and registered for a few workout classes. Went out with my brother Sat night. Fri was stuck dividing stuff up in the kitchen, Sun ended up having to work remotely. So, not exactly being a lighthouse in terms of fun but getting what I needed to done. Spent all afternoon on Sat at the pool w/ D3, had a great time. Sun was house hunting.

Question: W wants me to pay for half of the dog's expenses and I love the animal but it doesn't feel fair for me to pay for a dog I won't get to see. I know that my parents would take the dog and I would be able to see her more (and not have to pay, not that the money is a big deal) - how have others handled pets? FYI it's like $400/month w/ dog walkers, vet, food, etc. so not nothing.