The wand-cane:
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Place the wand inside of something else bigger and less conspicuous than a wand. A cane, either fancy or for disabilities, is easily justified, and authorities won’t take it away from you even going into an airport or security area if it’s for “disabilities.” For a cane with separate feet, the business end can fire through the cane. Otherwise, it looks like a non-lethal version of a sword-cane (little do they know…)

Drumsticks:
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Your wizard is likely to look a bit odd. So lean into it an carry a flute and a pair of drumsticks. What musician doesn’t look a bit quirky?

Tools:
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A screwdriver, a hammer and a tool belt lend themselves to looking like or concealing a wand.

Toys:
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You’re not a crazy wizard, but a dad or mom with a toy wand or gun in a diaper bag.