From your description it really seems that Tommy is showing his playful mood to you and is actually showing initiative in trying to have a closer connection/interaction with you and that in itself is great and this isn't something that should be considered as negative, quite the contrary.
Your Tommy really likes you and is showing how happy he is to be around you.
I'd say embrace your Tommy's joy, all of his enthusiastic singing/dancing!
He is a happy and healthy boy and to see them so happy is the goal of any pet bird owner/lover.
RIP sweet Tito (Summer 2008 - January 17th 2013).
You are missed and never will be forgotten.
Budgies in general do not like being picked up, so even when they're tame or comfortable with you, you shouldn't make a habit of picking them up unless it's an emergency.
I agree that Tommy is showing excitement towards you, and the best way to build his relationship with you is to talk back to him in excited tones, whistle back, and things like that. Soon he will see that you enjoy talking to him, too
and Princess Mallorn!
Thank you to Deb for her wonderful Faery magic