OP why are you consenting to induction? Have they given you a solid medical reason?
Or is it just that you are not progressing?
Is it induction by drip they are offering you? If so, has anyone explained that it may make your labour much, much more painful and you will almost certainly need an epidural? There was a huge difference in pain levels between my labour with and without induction.
(They didn't explain this to me. Also I am not saying other methods of induction don't hurt, just the drip is the only one I have experience of).
There is no way I'd let them do that to me again unless the baby needed me to.
If you want labour to progess, please do consider going home, have a bath, take long walks, listen to your body.
Also, what do they mean by "keep an eye on you". Ask - are they talking about continuous monitoring? (I'm wondering if this is why they've said no pool). In your shoes I'd be finding out if this is strictly necessary - some MWs want you labouring on your back with continuous monitoring with again makes everything more painful, and also harder work. Again I would do this in a flash if necessary for the baby, but if not, then I would avoid it.