Ruth Ann,
Many instructors I know have two accounts- it is really the only way to keep the two separate, though you can limit the posts "groups" have access too. You can create a student group with limited success who cannot read posts to your page, but I still find that a bit risky and not always functional. Designing a course page not linked to your name is always best if you decide to create a page.
Wishing you continued success in the classroom.
Theresa Schmitt