Not to get haughty, here, but I think from reading between the lines here, that no one who has responded yet owns a Deluxe Reverb. I do- a vintage silver face one, but for our purposes here, black face, silver face or reissue are all the same. Do allow me to chime in, here.
DR's are combos- there was never a model of DR that was a head/combo (there may well have been something that was darn close, but it had a different name, and I am too tired to research it. Ask Lt. Bob what can happen when I post when I am tired, and you will realize you are lucky I don't stay up late, researching...) But, DR's do have jacks on the back, with which one can plug in either the on-board speaker, or an extension cab, or both. The biggest complaint folks have with combos may be that, as the speaker and the chassis are in the same cab, and 12AX7 tubes are always somewhat microphonic, vibrations from the speaker can travel through the cab and into the pre-amp tubes- which causes something of a feedback-like loop. Having a separate head and cab breaks that loop, and you will avoid the nasties that loop could cause. If you unplug the DR's speaker and plug in a different cab, you have done essentially the same thing.
A few more things about the DR. The vintage ones are rated at 22 watts, and drive a single 12" speaker. Even a 22-watter, cranked to 10 (sorry, the amp pre-dates Spinal Tap) will be painfully loud in most studios, and DR's do not have a master volume control. If you want power tube distortion, put a true attenuator (not that rip-off POS some asshat sells on ebay) between the amp and whatever speaker cab you are running. Really, DR's are terrific club amps (Fat Mat's Rib Shack in Atlanta uses them,) but for studio work it might be a bit over-powering. A Princeton or even a Champ might suit you better for studio use.