Let's be honest, the right man at 34 is unlikely to still be the right man at 54. Loves come and go. Because people grow and change and the person you marry at this age might not be even remotely recognisable in even 10 years time. And - you'll change too.
You need to establish if you actually want kids. Sounds like an odd thing to say but unfortunately many of us are brainwashed into assuming it's what we are meant to do with our lives. But if we sat down and really thought through the implications for our bodies and our relationship future and future in general, we might not actually choose it.
There's no such thing as happily ever after because happiness is not a permanent state. Having kids is certainly not the end of the story and often, it can lead to much unhappiness if not under suitable circumstances or if we realise to late that actually, it wasn't for us.
Men will come and go. You need to decide if a. You want kids but only if you are in a longterm committed relationship with the father and life is stable and secure. If so, the children ate irrelevant until this is the case so, why beat yourself up wondering if they will ever happen.
Or b, if children are Definitely something something want, irregardless of a partner. In which case you may be wise to look into it alone. This however, will have implications for your future romantic relationships.
Personally, I would advise living for the life you have. I would choose another path I life and assume children are not going to be a part of it. And then, if they are, great. I think living with an obsession for a non existent being is quite frankly, odd tbh. But if you really cannot see your life without kids, then take the relevant steps. Just know that one thing may come at the expense of another.