I think you should be ok at home unless it looks the wrong colour or something.
If your waters break & labour hasn't started with in 24 hours I think they like to either give antibiotics via IV, or induce labour, but don't quote me on it.
With DD1 I went straight in thinking I had to & was given the option of going home again.
With DS I wasn't going anywhere, but I had mecconium (baby poo) in my waters, so I had to go get checked.