Okay....couple of questions.
Are you sure your razors are shave ready? You say they could be better.... this is scary. Are you an experienced straight razor user?
Why do you need a linen component?
There's not a strop that'll keep your blade maintained/ re-sharpened during the shaves as it dulls. For that you'll need stones, or a touch up stone. Some will say pastes work good for maintaing the edge, but meh... I will leave that for you to decide.
A strop, rather, is needed to use prior to each shave.
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