You can be your own trustee. But you must be sure the trust is administered properly — otherwise, you could lose the tax advantages and/or be penalized. Most people who name themselves as trustee have the paperwork handled by a qualified third party administrator.
However, because of the experience required with investments, accounting and government reporting, some people select a corporate trustee (a bank or trust company that specializes in managing trust assets) as trustee. Some charities are also willing to be trustees.
Before naming a trustee, it’s a good idea to interview several and consider their investment performance, services and experience with these trusts. Remember, you are depending on the trustee to manage your trust properly and to provide you with income.