I can name 1 good one in Glasgow and 1 in Edinburgh, the one in Glasgow is Antipasti on Sauchiehall street, you can get a 2 course meal Monday to Wednesday for like £5 from lunchtime till about 4pm, rest of week its like £7.50, I love the food there as get things like pasta that comes wrapped in foil and they grate cheese and pepper on top on request.
The one in Edinburgh is 3 courses for £6.50 called Jolly, beautiful food but heavy on the sauces, thats where they do a dessert of the day such as pears in wine, one of the mains is a pizza which is big enough for 2 people, and I normally go for the home made minestrone soup as a starter or the fresh salad.
Glasgow safe areas are generally West end, you can get problems anywhere though and I am a shy male who stands out and I have had no issues, there is buses everywhere though which you can get daily tickets.