So you can't transfer the Transform skills because that was changed? How does it work now?
Transformations now are their own slot, basically. They have a slot called "Awakening" (they're calling them awakenings much like in Storm 4; don't ask me why). Super Saiyan is its own skill and carries SS1-3, for instance. Kaioken carries not just Kaioken but also x3, x10, and x20.
The way the transformations work is that depending on how many bars of Ki you have is the level of the transformation you will go into. For example, if you have 3 bars, it's SS1. If you have 4, it's SS2, and if you have 5 it's SS3. For something like Kaioken it's going to start differently since there's more forms of Kaioken than there are Super Saiyan.
Super Saiyan no longer removes the Ki cost of supers/ultimates, anything you perform while in SS costs Ki but you also cannot regain Ki without a charge skill. In addition, your Ki bar doesn't drain while SS so you retain the form until you decide to detransform. Detransforming into your base form will allow you to regain Ki back. The transformations also give you stat boosts. Something like 5% increase to blast supers/ults for SS1, 7% for SS2, and 10% for SS3. Strikes and basic attacks also get increased but there's no data for these yet because nobody has done the testing for it that has the full game early so we're going to be waiting until tomorrow most likely for more concrete info on what stat boosts each transformation gives.
That pretty much covers it.