Hi JoAnn!  It's never too early to prepare, so I was glad to see your post today.  I am planning to use dog boots that I previously purchased for Griffin.  The ones I linked are no longer available, but it seems that similar ones are, and I found them to be sturdy, easy to put on, and secure on his paws.  I bought those a few years ago when Griffin badly cut his paw pad and needed protection outside (he wore a non-skid sock inside).  In addition to providing traction , the boots protect from salt and ice balls that form between the pads of his paws.  Griffin does not love wearing them, but will tolerate them and seems to forget he has them on once outside.  I did a quick Google search and there seem to be Greyhound specific booties (I guess to better accommodate their long slim legs?), so hopefully that is a good place to start.  For indoors, have you considered using nail caps?  I used them with Griffin over the summer when we were visiting family whose house had no rugs on the hardwood floors.  They worked well in terms of preventing slips and making it easier for him to get up after laying down.  I found them easy to put on (make sure to trim them enough so that they do not touch the base of his nail) and they stayed put for a few weeks.  I used the rounded end of a nail cuticle tool (the part to push back your cuticles) to easily remove them.  ~ Stacy