Yes and Yes.
There are 6 official category's of size. Size codes denote the approximate size of dahlia blooms that the tuber will produce. The sizes and their codes are:
Giant AA : Flowers over 10" or more
Large A : Flowers 8" to 10" across
Medium B : Flowers 6" to 8" across
Small BB : Flowers 4" to 6" across
Miniature M : Flowers up to 4" across
Pompom P : Flowers up to 2" across
The two most common type of giant are the Decorative and the Semi-Cactus.
ie Alfred C - a giant semi-cactus, Danum Rhoda - a giant decorative, White Alvas/Alva's Supreme both giant decorative.
As far as disbudding.
1) Only allow 2 or 3 stems to grow from a tuber. More stems gives more flowers, but smaller.
2) As the stem starts to produce a flower buds, it produces a main bud and 2 wing buds (all from the same node). By removing the wing buds, more energy is put into the main bud/flower.
Also, as with any plant, a good watering and feeding regime is very important.