Thank you Bob. Boxes are good clean fun.
I turn as cleanly as I can, maybe use a NRS if needed.
Sand by hand.
If needed, say inside where sanding might be difficult for some pieces, I often use small curved hand scrapers before sanding.
Sometimes I can start with 600 grit paper, but usually start sanding with 400 grit or drop to 320 if needed). I generally sand to 600 grit (by hand), sometimes to 800 or even 1000 depending. Then use 0000 steel wool.
After sanding and the steel wool, on some hard exotics I use no finish, as with the B&W Ebony threaded boxes, I just buff the wood and maybe apply micro-crystalline (Renaissance) wax.
If I want a glossy surface, on exotic wood like the B&W Ebony shown and sometimes Cocobolo. If I lose my mind and go for a glossy surface on small things I generally rub on shellac-based Myland's friction polish with a small piece of soft cotton cloth (usually old tee shirts cut into small strips). I apply and buff/polish by hand. I think I did that for the curved Cocoblolo and African Blackwood boxes shown.
For domestic hardwoods like cherry, walnut, dogwood, etc I usually use multiple coats of "danish" oil - generous application, wipe off after 1/2 hour or so, dry over night. I usually repeat this 6 to 10 times over that many days. (Not for getting in a hurry!) If I deem necessary, I might wet sand one or more applications with the oil and 0000 steel wool, or if a spot doesn't feel "right" I might wet sand with 400 grit
I don't see that I showed this lidded box, made from Eastern Red Cedar:
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It has a finish I rarely use - multiple coats of spray lacquer, each rubbed down with 4000 steel wool, then finished up with Renaissance wax. In the full photo one spot looks like it has a hard gloss but it's not, that's an artifact of a light and photo contrast I didn't notice until later. Might see in the closeup taken at a different angle that spot doesn't look so glossy.
In general, I prefer a soft sheen for most pieces. (I know glossy sells but I don't make things to sell.)
When I first started turning I made this type of soft surface and mostly stuck with it.
For years I thought this bowl from ERC was my first real bowl but I later found a photo where I'd bestowed that honor on a cherry bowl, given to a neighbor. For some odd reason my memory is not exactly reliable!
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I do know for sure the cedar bowl is where I came up with the idea of using curved cabinet scrapers to smooth the surface. I was having trouble with heat checking from sanding heat so I cut off the end of what is sometimes called a gooseneck card scraper to smooth the inside. Been using it and a bunch of later variations ever since! (I also learned to sand without generating heat - turn FAST, sand S_l_o_w!)
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JKJ