Sets of Circular Knitting Needles

Can anyone help me please?
I have decided to invest in a set of circular knitting needles, but they all seem to be for thick yarn, the smallest needle size being 3.50 mm.
Dos anyone know of a brand which has finer needles and smaller cables please?

http://www.woolwarehouse.co.uk/needles-and-hooks?brand_name=5363_1748&needle_type=1808

Knit pro start at 3mm. Not many others make less than 3mm.

Addi do small sizes for lace knitting. the small circulars do not have interchangeable tips

Thanks Karen, I will have a look.

I started with addi’s, bought a knit pro once, which broke during delivery, so decided against any wooden needles. I now use hiyahiya circular needles. They are by far the best. Very sharp, very thin cables, and start at 1.25 mm, maybe even smaller. You can start with a kit or buy everything individually, interchangeable or solid. They even sell 9” sock size!