Separate the celery stalks. Rinse them free of grit, and peel to remove strings if desired. Cut the stalks into 3- to 4-inch pieces, leaving the tender inner stalks whole. Wrap celery sticks in a damp cloth, and chill for 1 hour before serving.
In a small bowl, combine the cream cheese, horseradish, and Tabasco. Season with the salt and pepper. Serve the cream cheese mixture with celery.