Whether Poland would got it on it own, would bought it or would have been given those nukes , that is not importand. It would only set different timetable or/and conditions.
Poland would have to make many changes, before Russia would be willing to provide it with nuclear weapons. Let's look at existing examples of people sharing nuclear weapons.
The closest example of someone simply giving someone else nuclear weapons, together with the keys to them, is Britain and the United States. Meaning, Britain was simply allowed to purchase American Trident ICBMs, and is more or less in control of them. This unique situation exists for a long list of reasons, but perhaps the main one is that the Brits already had their own nukes before (and had at least the theoretical ability to continue making their own). Britain and the United States are also exceptionally close allies, sharing a common history, having fought together in the two most important conflicts in modern history. It is impossible to imagine the UK threatening or extorting the US by means of nuclear brinksmanship.
The other examples are of the United States stationing nuclear weapons on the territory of key allies such as Germany or Turkey. It doesn't mean that the Germans or Turks can use those nuclear weapons at will. Even if those countries are attacked themselves, the US will have the final say in whether or not they can be used.
Then there is the example of Belarus, which is also merely making its country available for hosting Russian nukes. Whatever Lukashenko says, it's not his to threaten others with. However, the nukes ARE in Belarus, and this IS important. Problem for you Poles, if you want the nukes from us, is that Belarus and Russia are a part of something called the Union State. Are you willing to enter that level of intimate partnership with us? Because I think that's the only way this will happen.