Hi Jama
I can't give you a definitive answer, because it depends on the nature of your wife's difficulties and what caring she does for you. There are some claimants of carer's allowance who also get PIP. However, sometimes claimant's find as soon as they claim PIP for themselves they lose their carer's allowance as it is judged they can no longer do the 35 hours a week of caring.
Your 16-year-old daughter can claim carers allowance, but only if she meets the eligibility criteria
www.gov.uk/carers-allowance/eligibility.
BIS