@ByGraceThroughFaith
Yet i feel guilty for wanting to take away my childs family from her.
You are not doing that. He did that the moment he cheated.
But in reality, the child will not 'lose' her family. It will just be 'family in a different form'. She will still have you and she will still have her father. Just not in the same house. She'll be fine. If you split when she is very young she will never have known anything different than having two homes.
Remember also, divorce is commonplace these days. It's not like back in my day when it was 'a shame and a scandal' and children of divorce were to be 'pitied'. Chances are as she grows there will be as many children from one parent homes as two parent homes. She will have many little friends with divorced parents and she will see them thrive. She will be fine.
As you make your plans may I suggest that you see a solicitor? You need to get educated as to what divorce may mean to you. Take a 'snapshot' of family finances (income, expenses, assets/finances, and especially the mortgage papers if you own a home). Let the solicitor explain things to you. There's nothing wrong with staying for financial security if that's what you choose, but it may very well be that you don't actually have to.
And if you haven't, find one friend or relative in whom you have absolute trust and who will not judge any decision you make and tell them. Having IRL support is immeasurable.