Just a heads up, a better blending tool might be an immersion blender. These types of blenders are really popular for soapmaking because they blend the lye water and oils at a much higher rate than a kitchenaid. I can hit trace with mine in roughly 5 minutes, which is a huge step up from stirring.
I hope that helps!
I've got an ancient corded Braun that's still going strong, but I've bookmarked this Cuisinart model for future reference. I can't remember specifically where I got the recommendation, but IIRC they rated it highly enough to get my attention. https://smile.amazon.com/dp/B00ARQVLX2