My Uncle lives in a nursing home. How much of his own money, in his bank accounts, can he keep? He has Medicaid and Medicare.

If you uncle is on Medicaid and is applying for nursing home benefits he will not be permitted to have more than $2,000 in cash assets in 2010. This includes all bank accounts, stocks, bonds, life insurance, annuities, etc.
He cannot have income of over $2,022 per month in 2010.