My partner works, but we recently had a little boy. If I was to stay at home to help bring him up, would I be able to claim any income support or benefits to help with the cost of not working?
In a word - no. However, if your partner works more than 16 hours each week he can claim extra money through Working Families Tax Credit/Child Tax Credit, depending on his income.
As above, it would depend on your partners income. They would then be able to claim working family tax credit. I would also recommend that if you are staying at home, you make sure that the child benefit is in your name rather than your partners - this should help to protect your national insurance contributions. This is something that is often forgotten as it tends to be in the mothers name and not the fathers.