Great news that you got the tandem and are enjoying it.
They take a bit of getting used to especially at low speed in tight spaces. We had a few wobbly starts on ours to begin with, but you quickly settle into a pattern with your 'stoker'. Feet up U turns need a wide road and a bit of practice!
In the first few days, we
almost broke a chain on ours as I didn't tell the stoker when I was swapping chainrings - shifting under power is a bad idea. Communication is really important when you are getting used to tandem riding. With experience, my stoker now just knows when to expect a gear / chainring change and as a combo we stay pretty smooth and in unison these days.
You both need patience though. I can understand why tandems are nicknamed 'Divorce Machines' - as one American wag put it 'Whatever direction your relationship is heading, it'll get there faster on a tandem'
My wife and I have ridden bikes all our lives, but we both agree that our tandem is easily the most fun machine in the stable and we rarely ride our solos any more. Have a great time with yours.