Hey! I'm a native Scot and proud

I agree mostly with Alidoll, except the bit about Ayr. It's right on the beach and is very nice if the weather is right! Troon is also a nice place to visit, just along the coast.
I live in the West so I would say come to Glasgow. It's very easy to get about - there is a subway system and a good rail system. You can get a train out to my little town in the country
Also, it's very handy for Loch Lomond - beautiful part of the world with some very nice hotels (Cameron House is the best, that would be a very relaxing & peaceful stay at this hotel). Also, Glasgow is only a 45 minute train journey to Edinburgh so you could visit both - I find Edinburgh is full of tourists though and simple things tend to be a bit more expensive because of this.
If you book somewhere to stay let us know and I can maybe give you some extra info