Budapest and Prague

Hello! Me and my boyfriend (both 29) are planning a trip to Prague in Budapest in October. We are going for 7 nights and wanted to know if anyone had a recommendations. We don’t drink, but love food, adventure, and culture. I am a bit nervous because this will be my longest flight and our first international trip together. I’ve reached out to travel agencies but wanted to know if people would recommend we plan it on our own. If so, where do I start? We would like to stay in the Pest side of Budapest and want to stay longer in Budapest than Prague. Thank you in advanced! Sincerely a nervous nelly. 😂