What's your budget?
There's no reason you can't do this with natural light, if you've got a good source of window light.
Photofloods are an inexpensive way to get into studio lighting, and you can do a lot with two or three lights and a few reflector cards.
If you are looking at strobes, Photogenic has some kits that include two or three lights, stands, an umbrella, and a few basic reflectors for not too much money.
On the used market, one of the better deals out there is in old Norman equipment. This was the industry standard for many years, but has been somewhat outmoded by new systems that are more efficient, lighter in weight, safer, and that offer finer control of light output. That said, the light they produce is as good as it ever was, and the equipment is very rugged, and it's still made, so you can always buy accessories for it or expand, and there's lots out there on the used market. I just added another 2000 W-s Norman pack to my system for $300 from a rental house that was unloading 10 of them at once.
A good Norman starter kit would be a P800D 800 Watt-second pack with two LH2000 or LH2400 heads with 5" reflectors, two stands, maybe a short background light stand, a reversible umbrella (either use in the normal way or shoot through), one set of 5" barn doors that can also hold diffusion material, and a few large sheets of white foamcore as reflectors. That would give you a soft light source as a main light and a second light as a background light, and you could use the reflectors for fill.