Mince the shallot and the garlic and add to a medium-sized mixing bowl. Measure and add all ingredients EXCEPT the oils to the mixing bowl and mix well.
Measure both oils into one measuring cup with a spout.
Add The Oils
With the measuring cup of oil in one hand and whisk in the mixing bowl of ingredients, slowly drizzle the oil into the bowl and whisk vigorously to create the emulsion.
After all the oil is incorporated, the dressing will thicken. Pour into a container (or two) and refrigerate.
I like to use a squeeze bottle (see link above in equipment section) for my vinaigrette which makes "remixing" before you use very easy. Just shake and pour.