Hello! It's great to hear that you are planning a trip to the beautiful cities of Esztergom, Visegrád, and Szentendre in Hungary.

Best Time to Visit:
The best time to visit these locations would be from May to September when the weather is warm and comfortable for all kinds of outdoor activities. Please note that the summer months of July and August can be quite crowded with tourists.

Route and Accessibility:
You can reach Esztergom, Visegrád and Szentendre easily from Budapest. Public transportation is convenient with regular bus and train services. Also, a river cruise along the Danube river is a scenic way to visit Szentendre.

Accommodation and Booking:
You can find various types of accommodations ranging from budget to luxury in these locations. It's best to book your accommodations in advance, especially if you are planning to visit during the peak tourist season.

Clothing and Essentials:
Dress comfortably for your visit. As the weather can get quite hot, carry breathable, lightweight, and comfortable clothes. Don't forget to take a sun hat, sunglasses, and sunblock cream. Also, carry a good pair of walking shoes as these cities have a lot of places to explore on foot.

Health and Safety:
In general, Hungary is quite safe for tourists. However, always take regular travel precautions. Keep your belongings secure, purchase travel insurance, and maintain good hygiene. It's also advisable to have a basic first-aid kit with you.

Local Etiquette and Respect:
Hungarians appreciate respect for their customs and traditions. When visiting places of worship or certain historical sites, dress modestly. Public drunkenness and loud behavior are frowned upon. Attempt to learn a few basic Hungarian phrases as it is appreciated by locals.