The best way is to drive yourself. The roads are newly constructed all the way. Drive down in One day: An early morning departure at 5 a.m. from Delhi should have you in Chandigarh by 11 a.m., at Aut (Himachal Pradesh) by 5 p.m. and at the Tirthan Valley by 6 p.m. in time to freshen up!
You may take a Volvo bus till Aut. Pick up/drop from/to Aut can be arranged.
Flights are available from Delhi to Bhuntar. Chandigarh to Bhuntar. You could fly down to Bhuntar Airport, and drive for an hour and a half to Tirthan Valley.