The logical place to begin a visit to Edinburgh is at Edinburgh Castle. It is build on a geological formation known as a crag and tail. The castle is above the city, atop the crag, and the famed street, known as the Royal Mile, extends along the tail. Edinburgh Castle, at the high end of the Royal Mile, was the royal residence of Scotland before the Holyroodhouse Palace, at the opposite end of the Royal Mile, was built. The Royal Mile is so-called because it's length is just about exactly a mile.
Here is the photos of Edinburgh Castle, from the travel photo blog of Europe. Photos can be enlarged simply by clicking on them:
http://markmeekphotos.blogspot.com/2006/09/edinburgh-castle-scotland.html
I am going to approach Edinburgh by way of the contrast between the Old Town and the New Town. The Old Town, including the castle, is centered along the Royal Mile, while the New Town is aligned along Princes Street, which is roughly parallel to the Royal Mile.
In the first of the following scenes, we are in Edinburgh Castle looking northward. The closest buildings that are seen in the distance are along Princes Street, from which there is a spectacular view looking up at the castle. The trees between Princes Street and the castle is the Princes Street Gardens. The water in the far distance is the Firth of Forth, which separates the southern part of Scotland, where Edinburgh is located, from the rest of the country, to the north. The beginning of northern Scotland can be seen in the far distance.
https://www.google.com/maps/@55.9487831,-3.2000375,3a,75y,337.03h,90.39t/data=!3m7!1e1!3m5!1s-SjYvdFlKB0V3usIWBm44Q!2e0!6s%2F%2Fgeo3.ggpht.com%2Fcbk%3Fpanoid%3D-SjYvdFlKB0V3usIWBm44Q%26output%3Dthumbnail%26cb_client%3Dmaps_sv.tactile.gps%26thumb%3D2%26w%3D203%26h%3D100%26yaw%3D71.930229%26pitch%3D0!7i13312!8i6656
Here are the general photos of Edinburgh, from the travel photo blog of Europe, around the Old Town area:
http://markmeekphotos.blogspot.com/2006/09/edinburgh-scotland.html
The Building with the pillars is the Scottish National Gallery. This is in the green space between the New and the Old Towns. The buildings to the left are the Old Town. This park was formerly an artificial defensive lake that was later filled in.
http://photos1.blogger.com/blogger/3879/3734/1600/dc_250919.jpg
I went to a show of the Camera Obscura, next to Edinburgh Castle. The rotating dome on the top of the building has a large lens and images of the city outside are projected on a wall. It is really fascinating for anyone with an interest in optics:
https://en.wikipedia.org/wiki/Camera_Obscura_(Edinburgh)#/media/File:Outlook_Tower,_Castlehill,_Edinburgh.JPG
The main train station of this part of Edinburgh, Waverley Station, is located right between the Old and New Towns:
https://en.wikipedia.org/wiki/Edinburgh_Waverley_railway_station#/media/File:WaverleyTrain3.jpg
The route from Edinburgh Castle to Holyroodhouse Palace is the famed Royal Mile. Here are the photos of the Royal Mile from the travel photos of Europe blog. Notice the crowned church steeple, in the first and third photos from the top. That is St. Giles Cathedral, the national cathedral of Scotland.
John Knox was one of the great leaders of the Reformation, and he did a lot of preaching here. His supposed home is on the Royal Mile. His preaching turned Scotland from a stronghold of Catholicism into one of the most Protestant of nations. St. Giles Cathedral is actually the central cathedral of Presbyterianism. When we think of the Presbyterian denomination today, the first country that comes to mind is South Korea, but St. Giles was originally it's center.
The building with the two turrets, straight ahead in the bottom photo, is Holyroodhouse Palace. It was the residence of Scotland's royal family, until Scotland joined Britain in 1707. The British queen spends one week a year at Holyroodhouse. In the second photo from the top, I think I made a mistake, that is in Glasgow and not Edinburgh:
http://markmeekphotos.blogspot.com/2006/09/along-royal-mile-to-holyroodhouse.html
The following scenes on the Royal Mile begin inside St. Giles Cathedral. It is named for the patron saint of Edinburgh during the time of Catholicism. Next to the cathedral is the old parliament building from before Scotland joined Britain in 1707, after both ended up on the same side of the Reformation. The original Crown Jewels of Scotland are on display in Edinburgh Castle. Remember that the church with the crowned steeple is St. Giles:
https://www.google.com/maps/@55.949494,-3.190985,3a,75y,180h,90t/data=!3m8!1e1!3m6!1s-JCHJvPh1YR4%2FUgV8B6m1qVI%2FAAAAAAAAT4k%2FzhSC_jiN74A5Zyb4dZM5HxFrWKGXJ6T7g!2e4!3e11!6s%2F%2Flh4.googleusercontent.com%2F-JCHJvPh1YR4%2FUgV8B6m1qVI%2FAAAAAAAAT4k%2FzhSC_jiN74A5Zyb4dZM5HxFrWKGXJ6T7g%2Fw203-h101-n-k-no%2F!7i4000!8i2000
Scotland is part of Britain, but has it's own parliament. This is Scotland's Parliament Building, on the Royal Mile near Holyroodhouse Palace:
https://en.wikipedia.org/wiki/Scottish_Parliament#/media/File:ScottishParliamentFront.JPG
https://en.wikipedia.org/wiki/Scottish_Parliament#/media/File:Debating_chamber,_Scottish_Parliament_(31-05-2006).jpg
This is what Princes Street, in the New Town with it's many shops, looks like. It is from Princes Street that there is the spectacular view upward to Edinburgh Castle. The clock in the clock tower of the Balmoral Hotel is purposely set three minutes fast, so that no one will miss their train at nearby Waverley Station. Balmoral Hotel is on the south side of Princes Street, but that side is ordinarily kept vacant to preserve the view up at the Old Town, which is centered along the Royal Mile.
https://en.wikipedia.org/wiki/Princes_Street#/media/File:Princes_Street,_Edinburgh.jpg
https://en.wikipedia.org/wiki/Princes_Street#/media/File:New_Town,_Edinburgh,_Panorama.jpg
Near Holyroodhouse Palace, and at the end of Princes Street, is Calton Hill. This is where monuments of Scotland are located. The pillars are Scotland's National Monument. It was supposedly intended to be a temple, but was never finished. Across the water is the beginning of the northern part of Scotland, on the other side of the Firth of Forth:
https://en.wikipedia.org/wiki/Calton_Hill#/media/File:Edinburgh_Calton_Hill.jpg
The monuments on Calton Hill can be seen in the upper left background of this photograph:
http://photos1.blogger.com/blogger/3879/3734/1600/dc_250913.jpg
And also in the upper right background of this photograph:
http://photos1.blogger.com/blogger/3879/3734/1600/dc_250918.jpg