Ideally, it would be best to spend time with your budgie and working on taming him during the daytime. Setting a scheduled routine for bonding time is a very good option and that would depend on your availability.
Given the fact your budgie is still in the process of settling to the new home and family, having night time sessions can put unneeded stress on Tundra and this can affect his ability to settle in for sleep and have a peaceful night.
For all the detailed information on tips on how to connect and bond with your budgie, be sure to check the stickies at the top of the Taming and Bonding section's main page.
RIP sweet Tito (Summer 2008 - January 17th 2013).
You are missed and never will be forgotten.