I recently signed up for talkingbass.net's all access pass and while some of the lessons leave out backing tracks that would be included if you purchased his courses rather than subscribed to all access, the all access area has a plethora of information in PDF format that is very easy to read, as well as backing tracks to a point of redundancy.
When I first started playing bass I signed up for Scott's Bass Lessons, and he's pretty much responsible for teaching my right hand technique, floating thumb and raking for descending bass lines.
Personally, I feel like talkingbass.net is more to the point in his videos, and the information is presented in an easier to follow format. No offense intended to Scott Devine, but he kind of takes too long to get to the point in many of his videos for my taste, although some people may benefit from his analogies and reasoning behind the application of what he's trying to teach. There is a lot to be gained from Scott Devine's free videos as well though.
I had to go this route because I simply couldn't find an actual bass instructor to take lessons from in my town. The lessons I did take were from a guitar major who used that information to transfer to bass, but couldn't teach me right hand techniques to save his life.
If you can find a solid bass instructor locally, who is really a bass player and can teach you finger technique and slap, it's your best bet.. and with or without that I'd highly recommend subscribing to talkingbass.net and going through their courses as well as hitting up the all access area.
A background in drumming should be greatly beneficial to playing bass, and I'm inclined to believe that once you do get some practical theory and technique under your belt, something will likely click for you as far as the bass's role in rhythm.
Be prepared to spend a few weeks developing your fingers and right hand for picking and plucking techniques until you're comfortable playing with any sense of rhythm at all. When I first picked up a bass, the first month was mostly spent just trying to coordinate my two plucking fingers on open strings.. but I also cheesed out playing some rocksmith which helped make it less boring. Not that I'd advocate rocksmith as a proper learning tool.. it did help though.
I'll let others recommend gear to you.. as I don't know much about short scales personally.