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You never know. My mother was diagnosed with colon cancer and died 17 days later. 17 days.
I still regret the only day I had to spend running stupid pointless errands instead of being with her, turned out it was the last day she was lucid. She died 2 days after that.
You'll have plenty of time to worry about what effect moving has on your family, and yes, you'll have plenty of time to bitch about the weather if that's what's more important to you.
You won't have any time to spend with your mother after she's dead, but you will have a lifetime of regret.
Stop making excuses and go.