I haven't had great success with lead remover cloths in the bore. It doesn't hurt anything -- keep it away from bluing, as pointed out -- but it hasn't been terribly effective for me.
+1 for copper scouring pads. Chore Boy is the common recommendations, and I've had good success with it.
Also worth noting that slight leading can be safely ignored.
Also worth noting that a few rounds of lighter loads can solve the problem, esp. if you have some gas checked bullets.
Also worth noting that zillions of folks -- including some very knowledgeable people like Veral Smith of LBT -- have fine success by deleading with a three to six rounds of jacketed bullet loads. Mention of this always results in howls of protest; "Ironing lead into the bore", "Blowing up your gun", etc.
Have fun!