The frenzied count-down to baby has begun for Prince Harry and Meghan Markle. “They’ve been busy preparing the nursery,” says a palace insider of the couple, who are expected to move into their new home — Frogmore Cottage in bucolic Windsor, which is an hour away from their current residence at London’s Kensington Palace, where Prince William, 36, and wife Kate Middleton, 37, also live — before welcoming their first child this spring. Harry, 34, and Meghan, 37, “can’t wait to escape the craziness of London and start a new life in the countryside.”
And Meghan wants to take someone close to Kate with her. Though the former Suits actress’ mom, Doria Ragland, 62, “will help Harry and Meghan look after their baby for the first couple of months, they’re…