No you do not count yourself.  You already get your own personal exemption unless you can be claimed as a dependent on someone else’s return.  You don’t get a set amount for dependents.  You get a $4,050 tax deduction for each person and dependent listed on your return.  That is subtracted from your income before the tax is calculated so you get taxed on a lower amount.

Please use this IRS "test" link to decide who is a qualifying dependent.

 https://www.irs.gov/help/ita/whom-may-i-claim-as-a-dependent

Each personal exemption is $4050 

https://www.irs.gov/charities-non-profits/other-non-profits/requirements-for-exemption