The whiterun forge just in front of the gate to whiterun is the quickest to get to forge I have found that is also surrounded by a bunch of good stores. there is only one thing wrong with it....Adrieene avenicci! when you are working any of the equipment she will prattle on and on about her father, and how shes not the best, and that this other guy has that honor.
every five seconds: "Have you seen my father?" "Im not the best blacksmith in skyrim"
That dude up on the skyforge is better cause all that time he could spend talking to you he instead spends beating metal on an anvil.
I would love a mod to make her a mute.