Fastest route to Anor Londo?

[Kreddi]

On NG++ and about to enter NG+++. Need to reach Anor Londo for making last boss weapon.
Plan so far:
Valley of Drakes > Blighttown - Ring bell
Undead Parish > Dark Root - Soul of Sif (The last one i need)
Undead Parish > Gargoyle - Ring bell
Sens Fortress > Anor Londo - Smithy


This should work right? Picked Master Key as my starting gift as, as far as i remember, there is no optional boss i need to kill for a key or anything in that sense right?

[svatem1]

you can use homeward bones to your great advantage