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Day Trip Question Szentendre and Estergom

Second time traveling to Budapest and have been reading all the great information. We will be arriving in Budapest on Sept. 12, and I would like to take a day and go to both Szentendre & Estergom but questioning if I should start in Szentendre and then somehow get a train or bus to Estergom or do I do the opposite way? I would like to travel by boat back to Budapest in the evening so do I purchase the ticket when I get to the city? We will be staying by the Market and I understand I need to get to Batthany Ter and purchase tickets.