I just store my wire as it came, in a coil (or on a spool) in a marked ziploc bag, then inside an airtight box. All my silver in one box, copper in another, everything else in another. I just take each one out as I use it, then put it back as it was.
I can't help with the eyelet chain loops, I just wasn't sure what shape you were working. But I do a lot of wrapped loops and thing I get them pretty neat. There is some really atrocious workmanship out there and some of the tutorials seem to promote sloppy technique too. Once you establish a good technique, it will become second nature - you get into a rhythm and always do it exactly the same way.
The best tutorial I saw in the very early days - the one where the penny dropped for me, described the loop as a little stick man - he has a neck (the length of the wire through the centre of the bead), a little round head, perfectly perpendicular over this neck, then you wrap a scarf around his neck.
When I'm making a chain of beaded wrapped loops, I tend to make the first loop, pop my bead on, put my flat pliers against the bead and bend the wire over it ** - you need a neck of about 2-3mm to accommodate three wraps of your wire. Obviously a longer neck the thicker the wire. I tend to do 3 wraps each side of the bead. ** My habit is to bend this second loop at 90 degrees to the one below the bead - I think the resulting chain is less likely to kink in wear if the loops alternate in direction.
I'm going to do you a quick diagram of how I do a wrapped loop as I think it gives consistently neat loops and I don't have time for photos at the moment. Back shortly.
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