Actually, that bulge will decrease your weight (by an insignificant amount). You are slightly further from the Earth's center of gravity, which reduces force.
Also, you experience centripetal force (I won't get into an argument about whether it's and actual "force." It's inertia counteracting some of the downward force exerted by gravity, anyway.)
So yes, a very accurate scale would measure you slightly differently at the pole vs the equator.
There are places in the Earth's crust where massive, dense objects are relatively close to the surface; these spots affect satellites and such.