As a follow up to me earlier questions, we ended up getting two Lenovo Tab3 8's for the kids to replace their current HP Slate 7's. (I'm now using one of the HP's as my personal tablet).
Trying to obtain an Asus Zenpad locally was next to impossible... Contacted Asus for a list of authorised resellers, and contacted a few of those. None are currently supplying the Zenpad, or were even willing to get two in to sell. (This includes two very large retail chains as well who sell a number of Asus laptop). I'm unsure of what that implies about the Zenpad or the local distributors for Asus. I also asked Asus about warranty support if purchasing online from Amazon US. Basically, the warranty on products purchased overseas is the responsibility of the seller, so I would have to ship the tablet back to Amazon US for warranty repair/replacement. (The international warranty service doesn't seem to apply on the tablets).
So my wife and I decided on the Lenovo's after playing with one shortly in store...
Compared to the HP Slate 7, the Tab3 8 has a far better display, better touch responsiveness and better audio from the built-in speakers. However, it is a little slower in some things (eg, when doing multiple things, like updates from the Play Store), but overall it feels very similar in performance when the kids are doing the things they normally use them for. Some of their games that they play also feel smoother on the Lenovo than the HP.
The build quality seems better on the Lenovo than the HP as well. So overall pretty happy with the Tab3 8.