Thinking about growing Fuzzy Kiwi in my yard on a flat tellis (think 4 x 8 lattice in a 4 x 4 frame), questions is, is this enough space and how would you train the vines for a flat verticle trellis?
Nowhere near enough room to grow a pair of fuzzy kiwis!! These vines can easily reach 30' and develop a huge woody trunk and that will happen a lot faster than you might expect in a warm, suitable climate like yours. In fact, I would not recommend kiwi for a trellis vine at all - they will need a strong and relatively tall vertical support and then something to spread out on. I have seem them growing up an 8' 4x4 porch column, then spreading over an open, lattice roof, growing up a 60' Douglas fir and trained along a 50' section of 6' tall chain link fence.
Whatever may be appropriate to support wisteria in your area is what you will need for the kiwis, only keep in mind that pruning requirements will be very different - you don't want to hard prune kiwis like you would a wisteria.