I have joined a polymer clay forum and there are different of opinions regarding the bead tumblers and the sand paper you have to put in them. So for now I'll not be buying a bead tumbler until I am sure that I will get the use out of it - they are quite expensive.
After re-reading one of the books I have, I discovered that you don't 'have' to shine the beads, and you can varnish them with a polymer clay varnish if you want too. There is a matt and gloss version. So I'll leave that in obeyance for now too.
I have used some of the beads I made to make a bracelet - for summer wear - and I have enough left over to make some earrings and a necklace.
You can just about see a bit of a sheen on some of these - but with the pattern it's not really necessary.
I have made a start on some tiles for a couple of boxes I am working on. I am using air dry clay for those. I made the tiles yesterday, so can't get to work on them until Wednesday when they will be properly dry and hard.
So I am off to paint a couple of wooden boxes in readiness for the projects.