”STBexH is thinking of cashing in his pension soon (I think he can from next year so I supposed that it would apply to my portion too)”
That isn’t how a Pension Sharing Order works.
The £60K will be transferred into a pension that you set up - it will be then be entirely separate from his pension and what he does in terms of “cashing in” is completely irrelevant to what you can do.
So firstly - yes, you need set up your own pension to receive it into. Don’t stress yourself over choosing perfect options… you can change later. A simple personal pension from any of the providers will do - Aviva for example, you can just set up online.
Once the money is in - you control it, nothing to do with your XH any more. You will be subject to all the standard regulations and options.
You could draw down from it at age 55 yourself. (I don’t like the term “cashing in” as it suggests you take the lot!) If you do, you can take 25% of it tax free. Thereafter you’re taxed according to your personal tax code and taxable income. Note that if you do start drawing on it, you limit your own future pension contributions. I’m not going to go heavy on detail - just want to signal that you need to understand your options.
The comment about not being able to leave it to anyone else on death is incorrect if you are receiving a cash equivalent sum that will be paid into a Defined Contribution pension. In that case, it absolutely can be inherited - and in a tax advantaged way as it sits outside of your estate for tax purposes - though it doesn’t sound like you’d be breaking any inheritance tax limits anyway! Perhaps the poster who said they can’t leave it to anyone has been brought into a DB scheme. Don’t assume that’s your situation!