Hello Bottomfeeder,

Good questions. I don't think you will need to treat your strop initially since it is new. Some folks like to rub the palm of their hand back and forth along it to "prep" it before they begin a strop session. I have personally found this to work nicely. There may be other opinions on this issue, but down the road a bit, some conditioning of the strop may be in order to preserve it. Concerning the x pattern method or as you mention, alternating the blade, I think the x pattern may be your best option on a 2" strop. Having said this, equally important is having the proper technique so as not to roll your edge or damage your strop. Best to take things slowly at first and make certain there is not too much if any pressure on the blade itself. The blade is basically along for the ride and the spine is the driver. Better slow and steady than fast and sloppy. There is soooo much information here on this site concerning the details and techniques of using your strop. If you have not done so, a quick search would be certainly worthwhile.

Best Regards
Kenny