The expression "with hope" implies a positive and optimistic attitude towards a certain situation. There are several synonyms that can be used to convey similar meanings, such as "in anticipation," "optimistically," "with faith," "hopefully," "confidently," and "with positive expectations." These phrases all imply that the speaker has a hopeful outlook and expects a positive outcome. Using synonyms in writing or conversation can add variety and nuance to the language, while still conveying the intended meaning. In any case, "with hope" and its synonyms demonstrate a positive mindset that can help individuals cope with challenges and move forward towards their goals.