I've made quite a few log cabin quilts, and this is the method that works for me. I use 1.5" strips (just my preference - you can use smaller or larger) and I cut all the logs to length. This is Judy Martin's method, and I think it works best to eliminate wonky blocks. You get immediate feedback with each log that you sew as to whether your 1/4" seam is correct or not.
I set up my set of silverware trays, pull out the scraps, and start cutting 1.5" strips. As soon as a strip is cut I start cutting it into lengths. I try to get various size logs from each fabric, and as I see one of the silverware trays getting full I concentrate on cutting other sizes. You can see this post for pictures of my silverware trays -
http://www.quiltingboard.com/picture...in-t23612.html. I labeled each try so that I can see what it's supposed to hold. When I get ready to start piecing, I chain piece a bunch of blocks using one tray at a time.