I've been surfing the net and checking out strops. http://cgi.ebay.com/ws/eBayISAPI.dll?ViewItem&ssPageName=STRK:MEWAX:IT&item=170312177916 and then there is the paddle strop. http://www.classicshaving.com/catalog/item/6425496/6257427.htm I do not know what i should get i also would never hear the end of it if i attach a strap strop to the wall or the towel rack. So i was considering and extra wide paddle strop or maybe one of the four sided ones i found on Ebay. I could use some input on this I like the idea of a nice wide strop.
Large strop not needed if you lean an X pattern I have Illinois strops and can not complain about them at all, never even used a paddle. http://www.classicshaving.com/Razor_Strops_Hones.html As for hanging it, I use a D-Clip (ring, carrabiner what ever) and hook it to a door knob.
http://www.shop.thewellshavedgentleman.com/ The Well Shaved Gentleman has great strops and Tony is a very nice guy. They cost a bit more, but I believe they're worth it.
I would recomend get a 3 inch Latigo hanging strop from Tony. I bought a combo Horsehide/latigo TM Strop and it's much more satisfying to use than the vintage Illinois strop I had as my first strop. I think the paddle strops are more for using with abrasives and pastes for finishing/honing.
You can use a paddle strop, but for everyday use, you really want to get a hanging strop. As far as hanging it, maybe on the back of the bathroom doom or even put a clip hook on the end of it and then you can stow it away after your shave.
You should, every one says TM is the man. I got my Illinois for cheap and love it but based on reviews you cant go wrong with the well shaved gentleman store.