Been making my own homemade mayo (recipe below) for a decade, and I use regular light colored olive oil (not extra virgin, that's too grassy), but any non-seed oil will do, if it's flavorless. Make sure it's not cold, but room temp.
Stick blender mayo
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1 whole egg +1 yolk
1 tsp Dijon mustard
1/4 tsp garlic powder
1/2 tsp salt
2 T vinegar or lemon juice
1 cup refined olive oil
In a jar whose interior bottom just fits a stick blender head, place egg, add rest. Fit blender head over eggs. Add oil slowly.
Blend, pulling up gently 
