Variation #1 - In a cocktail shaker or glass filled with ice, add the vodka and vermouth. Stir to combine then strain into your chilled glass. Squeeze the lemon rind over the top of the drink. Then add the rind to the drink.
Variation #2 - Add the vermouth to your chilled martini glass and give this a couple of swirls so it coats the entire inside of the glass. Then pour out the vermouth. Add the vodka to the glass and top with the olive and olive juice.
Keep your vodka in the freezer. It won't freeze, it will just stay super cold. If possible, it's also nice to keep your martini glasses in the refrigerator so they are also super chilled.