How to get a move-only type out of a STL container?

Let's consider an std::unordered_set of std::unique_ptr<T> as an example. Can I move an element of the set elsewhere ?

#include <unordered_set>
#include <iostream>
#include <memory>
#include <vector>

int main()
{
    std::unordered_set<std::unique_ptr<int>> mySet;

    mySet.insert(std::make_unique<int>(1));
    mySet.insert(std::make_unique<int>(2));
    mySet.insert(std::make_unique<int>(3));

    std::vector<std::unique_ptr<int>> myVector;

    for (auto&& element : mySet)
    {
        std::cout << *element << std::endl;
        //myVector.push_back(element); won't compile as you can only get a const ref to the key
    }
}

I have a very practical example of code where I would like to do this but am reduce to use a std::shared_ptr. Do you know of another (better ?) alternative ?