Source: my wife worked on the fertility clinic of an NHS hospital during her training and was fascinated by how easily this whole thing works and how far we've come to help struggling couples to get children.
EDIT:
Sorry I wanted to add one more thing. There are some quick suggestions floating around here that you could just find a new partner. I don't think that is as easy as people say. It takes time to build an emotional connection with someone strong enough for both people wanting to create kids together. You might waste another 2 years of your life to just find that person if not longer.
Also... unless your spouse is dead against children it's just plain disrespectful to her. She is also a human being who deserves happiness and you guys have found each other and if you love her and she is also open to having kids now then you should definitely try to have kids with her. Imagine you have a daughter one day who is 40 years old with a partner that wants kids. You wouldn't want that guy to treat your daughter the way others suggest here. Also, fathering children is a process, we don't like talking about it but there are many things which can go wrong. If I was you I wouldn't want to go through any painful issues with someone who I just met recently. If you and your spouse love each other you can support each other through whatever happens. That is important as well.