The wand-cane:
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:
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:
A screwdriver, a hammer and a tool belt lend themselves to looking like or concealing a wand.
Toys:
You’re not a crazy wizard, but a dad or mom with a toy wand or gun in a diaper bag.
A wrapped gift:
It's something long and thin, with a bow wrapped in paper. Maybe in a box. Well, obviously it's a gift. What? I dunno. Unless they suspect someone, who's going to ask you to open it? No, it's a surprise (a big surprise) - you'll tell what it is. Okay, it's a religious candle. For a baptism (by fire). Who knows? Maybe you covered it in wax, and it looks like a candle. A little heavy...