I love my Z-Rest! makes a great fireside seat and no worring bout embers melting holes in it.
super lite and warm on cold ground!
I bought the same ones. I really like them so far.
Suggestions? Yes. Spend the money you plan to spend on gear and put it toward courses and hiring a guide. Gear is not only dangerous without proper instruction, but a major hazard. If you plug in cams and set up a rope to rappel off them without really knowing what you are doing, death is a good possibility. Gear is not magic. It takes solid knowledge to use it safely and effectively.
As far as actual suggestions? .75, 1, and 2 Black Diamond C4 camalots, 6 various stoppers (nuts) ranging from 6 to 13, an 8 mm tagline, probably 60 meters. If your rope is only as a backup and for rappelling, static is probably a good idea. If you will be doing any actual climbing while using it, dynamic is necessary.
Crampons depend entirely upon what kind of boot you have and what type of climbing you will be doing. If you are doing general winter slogging, step-in crampons would most likely be perfectly adaquate. You will want horizontal frontpoints for this, as vertical frontpoints are generally used specifically for technical ice climbing. In general any piolet will work for self-arrest applications, but make certain it is sized correctly for you.