Moose are not especially hard to kill. Any decent bullet will do, but the best performing ones are going to Nosler partitions, Barnes TTSX/TSX, and similar non-lead bullets.
I’ve shot my first moose with a 6.5x55 with a factory Federal (anemic) round with a basic Soft Point bullet. It fell over and never got up... The one I shot with a 7-08 and a factory Federal Premium Barnes TSX was just as dead as the first.
Your 30-06 is a fantastic cartridge...
NH3