The water of leith season finishes on the 30th of September, but plenty of small wild fish to be had, dry flies work well (small griffiths gnats, grey dusters and Adams patterns are good). Hareperrig is full of wee wild fish but is quite expensive for what they are. Threipmuir reservoir by Balerno is stocked With browns twice a season and has a head of wild browns (No rainbows), permits can be had online from malleny angling Ltd, my fishing club, good quality fishing to be had and if the browns are playing hardball the other reservoir (Harlaw) can be fished off the same permit. Harlaw is stocked with rainbows though.
The various border reservoirs mentioned are good, the better river fishing is further afield. The tweed and a few of its tribs are mostly around an hours drive away, the Clyde also. A lot of central Scotland can be Reached within an hour or two drive and there is a multitude of options for fishing.
What type of fishing to you want specifically and how far do you want to go.