Generally, you should position it first, then parent, with "inherit bends"
unchecked.

One possible "gotcha": 

If the arm (or even the figure) is not at original (100%) scale, you'll 
have distortions.   I don't know of an easy solution, except to restore
the figure and all of its parts to 100%, attach the basket (scaling it
up temporarily to look right) and then set the figure or the arm back
to the small scale.  The basket will then be undistorted.

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