The best travel itinerary for Edinburgh would depend on your personal interests and how much time you have. Here's a general itinerary for a four-day trip: Day 1:

• Arrive in Edinburgh and check into your hotel

• Visit Edinburgh Castle and enjoy the panoramic views of the city

• Take a stroll down the Royal Mile and explore the historic Old Town

• Visit St Giles' Cathedral and the Museum of Scotland

Day 2:

• Visit the Palace of Holyroodhouse, the official residence of the monarch in Scotland

• Explore the Royal Botanic Garden Edinburgh

• Visit the Scottish National Gallery and see some of Scotland's finest art

• Take a walk along Princes Street and do some shopping

Day 3:

• Take a half-day tour of the Royal Botanic Garden Edinburgh

• Visit the National Museum of Scotland

• Enjoy the view of the city from Arthur's Seat, an extinct volcano

• Visit the Scottish Parliament building

Day 4:

• Visit the Royal Botanic Garden Edinburgh

• Take a day trip to Stirling Castle, located 30 minutes away from Edinburgh

• Explore the city center and do some last-minute shopping

• Depart Edinburgh.

This itinerary is just a suggestion, and can be adjusted to suit your own interests and schedule.