James,

There is no special way to clean your barrel after shooting the lubalox coated bullets.  Treat them the same as you would copper jacketed bullets.  Lubalox is not a moly coating, as widely believed.  You can go to Winchester's website and verify for yourself.  I have been shooting them for years, and have not had a problem.  If interested, I could give you some of my loads to save you some time and money. 

http://www.winchester.com/learning-center/faqs/Ammunition/Pages/FAQ.aspx

What is the difference between Lubalox and Moly Coating?

Lubalox Coating:  Black oxide First used in early 1990 Does not increase diameter of bullet Used on Accubond CT®, Ballistic Silvertip®, E-tip and XP3® product lines Does not harm barrel Reduces barrel fouling Does not require barrel "seasoning"   Hope this helps.   Eric

Moly Coating:  Molybdenum Disulfide First used in late 1990 Increases diameter of bullet Was used on part or all of Power-Point® Plus, Partition Gold® Rifle, and one Hornet SKU Did not harm barrel For optimum performance barrel "seasoning" was required Could cause accuracy problems in some guns