Giving a big hand is a common phrase used to applaud someone or something. However, there are several synonyms that can be used instead of this phrase. One option is to say "giving a round of applause," which refers to a group of people clapping at the same time. Another option is to say "giving a standing ovation," which is when the audience stands up to applaud. Alternatively, one could use "cheering," "clapping," or "applauding vigorously." Each of these options can be used to show appreciation or praise for someone's accomplishments or actions. Whether it's a casual setting or a formal event, there are many ways to express gratitude without using the same old phrase every time.