What different borders are unlockable? Can I change them freely when unlocked? Is it possible to have them all unlocked at the same time?
What case do you use for your 4U, if you have one?
As for the borders on the 4u, there are some you can change to off the bat! There are four (including the one you start with} that can be found as the second option on the settings screen.
The order of selection is:
Default
Gems and Jewelry
Under the Sea
Hearts
As for cases, I have a smallish plastic case I got from Daiso that I use to cart around the Tamas I am currently running (two 4Us and a Ps) as well as the phone I use for transferring items to the Ps. It's wide enough that I can fit two modern Tamas flat at the bottom.