Hi Judy,
As Marilyn has said - Lantus, or it may be known to your vet as Glargine, is definitely a better insulin than Caninsulin. My cat was on Caninsulin because my vet (back in 2005) wasn't familiar with Lantus/Glargine and preferred to stick with what he knew.
Myrtle did OK on it, but she sometimes experienced a sharp drop - not to the point of a hypo, but still, it was disconcerting!
I think for a kitten, a gentler insulin like Lantus would be safer - not that I am personally acquainted with it.
When a workmate of mine had her 18 year old cat diagnosed with diabetes, I strongly recommended Lantus to her, and she did persuade her vet to try it instead of Caninsulin. Her old boy is now 20!! and really doing well on it!
Hope, too, you will not give your kitten that Hills prescription diet (dry or wet)! Not only is it expensive, it has more carbohydrates than you'd want for a diabetic cat. I reckon the Dine pet food (canned?) that you mention would be good to stick with. I'm sure it is the same stuff that we get here in NZ, and it looks good quality to me - just basic meat and fish with very minimal "fillers". In fact they promote it here on that basis.
All the best, Judy!