every time children come up in conversation (A while in I usually ask if they have any and then tell them I have kids) and I say I have two the conversation just dies
I just feel pathetic and like no one wants me
I just feel like I can’t be single and lonely forever
In the nicest possible way, OP (and I say this as a very single single parent), I think it might be your attitude about being a single mum that's putting them off.
If the conversation dies, could it be because you're almost waiting for their reaction - like you drop the 'bombshell' and wait for a yea or neigh from them? I would consider bringing the DC up in the conversation earlier on before it gets to the point where it's awkward and they have to ask. If it gets to the point where they ask, it may well that they feel like you're holding back a part of your life (and that you think it's an issue) and that's what's making it awkward.
I date women, and in my experience, the ones who are sheepish about saying they have kids are the ones who've had step-parent type issues previously or whose ex (kids' other parents) doesn't approve of their dating or has a contentious relationship. Basically, they come across as awkward about it because they (rightly or wrongly) perceive a potential issue with dating and having kids.
If people haven't twigged I have kids already, it will usually come up naturally if we're talking about holidays or the weekend or whatever, then they can ignore it, pick up on it or whatever and this will give you a far better indication of how they really feel about kids.
I don't know whether your confidence is just low on this issue or generally, but if it's more generally, I would address that with self-help too.