If you're honing on a Coticule, than trust me: you need a good linen and a good clean leather strop, both of the hanging type. An adjustable "loom" strop would do the job too, but I have only seen them in leather so far. Paddle strops are for pasted use.
A hanging strop, even when used in a fairly taut fashion, still deflects 1 to 2 cm. A paddle strop does not deflect at all. It does make a difference.
I personally can not get a satisfactory edge of a Coticule if I'm not allowed to strop it well.
A basic but excellent quality strop with a good linen is the Dovo "Russian" leather strop. It has the word "Juchten" embossed in the leather and the linen has a herringbone pattern. They're not overly expensive. Of SRD, I've seen very good strops and laughably bad ones. (The excellent one was a "Bridal IV", or something like that.)
Kind regards,
Bart.