I'm *technically* a bassist turned drummer, as I played bass for three years before picking up the drums, but then drums became my primary instrument (25 years now and still going), and I give lessons privately on the instrument now.
Agree with Dogbluedrummer: If you're a decent pocket player on bass, you could be a decent pocket player on drums. Depends what you want to do with the drums, of course: swing a four-piece with a jazz combo or be the next Neil Peart or Joey Jordison.
As with any instrument, start with the basics. For drums, this includes choosing appropriate sticks, proper grip, rudiments, and setting up the drums comfortably. There is much more physicality involved than there is in bass playing, so be prepared for the initial learning curve to potentially be very sharp and steep.
Drummers have even more of a gear fixation than guitarists (I am admittedly guilty on this part). Resist the temptation to go buy dozens of cymbals and the most tricked-out double kick pedal until you have got the basics down. A couple of toms, a single kick pedal, and a couple of cymbals will serve you well in most musical circumstances in the short run.
Have fun, good luck!