The fastest way to manually sharpen a knife is to quickly hone through a series of finer-and-finer grit hones. With small steps between grit you can rapidly remove scratches left by the previous slightly coarser grit at each step. While this is the fastest way, it is also the most expensive way and is not mandatory. If you have a type of hone that cuts fast, such as a waterstone or a diamond hone, you can skip several grit steps and reach your finished edge in a reasonable amount of time. If you don't want to sink all of your savings into a hone collection I suggest trying the 8000 grit Norton as a next step. If you decide that you need to go finer you could find a 6000 grit King or an 8000 grit Shapton later on. If it seems to take too much work to go direct from the 1000 grit Norton to the 8000 grit Norton you could go back later and buy a 4000 grit Norton.