Congrats and wish your daughter a happy birthday from me!
Nice gift dad!
The container is actually not that bad right now. They need more floor space than anything, and youll like the fact that they cant glass climb as that becomes annoying hearing clicking and clacking all night long.
If you want to allow it to burrow, then youll want a taller cage of course. If you want to see it all the time, just keep it on shallow, dampened peat with some hides (just like you are doing). These things are notorious for gorging themselves on crickets and then fasting for months at a time, so dont be alarmed if it does that, its normal. I may suggest getting a top that latches or locks though, as these are pretty strong and can easily lift a unlatched lid. I keep mine in one of those long and short Kritter Keepers. I have two in there and one other in a seperate cage (the cage is too small for all 3). Youll fall in love with her in no time and pretty soon youll want more and more. Welcome to the "other side" of invertebrate keeping.