I'd say you have a good rig to start with.
It's quite a change from sticks to LRH.
(ya, gotta watch my attempts at humor, sometimes that fall pretty flat.:(
Before I'd get all excited about bedding, I'd check how it shoots. If it shoots up to your expectations then don't mess with it. Not as much fun or the anxious moments when separating the stock and action on your very first, or second and third bedding job.;)
If the stock has a bedding block additional bedding usually not needed.
If no bedding block I'd consider both pillar and skim bedding.
Be reminded that the tang on a savage floats.
Instructions that come with the pillar bedding kit are very good.
Hope this helps.