There are a lot of factual/product errors in this thread. Veneering isn't terribly complicated thankfully. I have done quite a bit of veneer work for work - furniture to large panels. My personal preferred veneer glue is Unibond1 available from vacupress. It is designed for exactly this sort of veneer project: you can order small quantities, it works great, and no mixing required. In a pinch titebond 1 or even an epoxy work fine. For small panels you can probably use lots of clamps and cauls over your panel. If you can spring for/borrow a a vacuum bag system those make it almost too easy.
I have not done the hide glue/iron on method so cannot speak to that or those products.
You do not want to use a PVA glue or contact cement - both are too flexible and 'creep'. Contact cement is used for sythentic sheet bonding like formica, but not good for real wood. Titebond1 is an aliphalic glue (which does not creep) Titebond 2 and 3 are modfied PVA, which creep. You want a glue that dries hard, brittle in chunks hard. Not one that dries gummy. The foam roller tip is a good one, or use a v-notch glue scraper. Try a couple small test panels to get the amount of glue right, its a big bummer to clean up after the fact. Unibond1 self seals in the veneer and doesn't come through the veneer as much as other glues readily available, nor does it affect finish as much. Good luck - veneering is fun!