SGK

Hartlepool, first and foremost there is a myth that has come from somewhere - I'm assuming the pro-independence groups who have never let truth get in their way - that the break up of the UK will have some effect on the treaties we have with the EU, to the degree that the resulting nations will no longer be a part of it.
There is no evidence for this, no precedence, no reason. The treaties were signed by the Queen's representative in her name, at which point both representative and monarch spoke for the people. The people won't change, the lands won't change and even the monarch is unlikely to change.
Even if the monarch and representative changed, the new, smaller country would be considered a successor state to the treaty. There is no way that the treaty would be considered void through a break up of the UK.
It is time for sensible people everywhere to ditch this rubbish.

So, let's say Scotland did end its union with the rest of the UK. The two countries would still be in the EU. Free movement would still be allowed, as would be the right to work and own property etc etc. We can expect all the priveliges granted to Ireland (Southern) to be granted to Scotland.
Border controls would be kept as they are with none between Scotland and England.
The disparity of subsidy that the EDs moan so loudly about would continue, except it would go through the EU not Westminster. Just as Ireland has a heavily subsidised economy from EU coffers, Scotland would benefit accordingly. And where does that money come from?
It is quite possible that the net contribution from England to Scotland after English and Scottish separation could go UP! You don't hear that from the EDs.
So to all intents and purposes, everyday life would not change much.
The differences would be subtle, sometimes abstract, and actually more disturbing. Scotland would be able to make certain decisions independent of England (naturally).
Given that almost all areas of politics are governed by the EU, which is slowly getting tighter and more restrictive, the primary thing that Scotland could do is push ahead with integration quicker than England.
As we have seen Ireland take the euro and switch to metric, so would Scotland, in return for the EU bearing gifts.
Scotland has a proud military heritage, but would it be able to afford it alone? How tempting would the 'common defence' offers be? A Scottish army integrated into the EU command structure on the English doorstep.
Of course, the UK establishment has always wanted to progress with the great EU project more than its people and this will just be another reason to push it on us all. 'Look, the Scots have km signs, it's not so bad', 'The Scots have the euro and are doing alright', 'The Scottish regiment under French command has successfully completed humanitarian duties to Portugal after the EU replaced their wicked government, we should join in'.
Etc etc etc etc etc...........