That's a pretty good description of an oil finish. No build, warm, close to
the wood look and maintains the feel of the wood.
Danish oil would probably be your best bet. It contains some varnish resins
which provides a little more protection then linseed or tung oil but not
enough to really build unless you work very very hard at it, and that is a
pretty pointless exercise.
If you haven't stained yet Watco Danish comes in natural and with color
already in it.
Note, any natural oil will darken and slightly yellow when applied. Nothing
to panic about but something you may want to keep in mind so it doesn't come
as a surprise.
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