Any DSLR will give you vastly more control of your choice of aperture. It will also give you more control over DOF altogether. Cheaper lenses might have an aperture that changes as you zoom, at the brightest aperture settings, but once you stop down a bit, usually to f/5.6, you can maintain that aperture no matter what zoom setting you pick. More expensive lenses will hold a constant aperture regardless of the focal length selected, giving you absolute control over the exposure and everything else.
e.g. suppose you buy an entry level DSLR with a kit zoom lens. The lens will probably have a focal length range of 18-55 and the brightest aperture the lens can offer will range from f/3.5 to f/5.6 as you zoom the lens. If you select f/5.6 (or anything narrower than f/5.6 (including f/6.3, f/7.1, f/8, f/9, f/10, f/11, f/13, f/14, f/16, f/18, f/20, f/22) as your chosen aperture then the lens will remain at that aperture over its entire zoom range.
Many of my more expensive zoom lenses have a max aperture of f/2.8 throughout the entire zoom range, and they will all stop down to at least f/22 in 1/3 stop increments. Zooming the lens will not change the aperture value at all.
Such lenses make shooting with manual exposure far easier and more convenient, because once you have your exposure set you are free to zoom and adjust your composition without the fear that your exposure will change.