I found the basic kit zoom very limiting, to the point where I don't use my camera as much as I hoped I would. I probably won't until I budget for additional lenses, which unfortunately probably won't happen until the year after next.
My old film SLR rigs would involve a wide prime, a "standard" prime and a reasonably fast telephoto zoom, beginning with the Pentax K1000 with 28mm f/2.8, 50mm f/2 and 80-200f/4, continuing through Nikon FA with pretty much the same setup, and winding up with a Contax, where I went with a 45mmf/2.8 Carl Zeiss pancake rather than the 50mm.
This combo covered most of my creative needs, and I'd just slap on the standard or wide prime and leave the rest at home if I wanted to "simplify" my process, which I often did.
Even with the zoom, I found I spent half the time racked out to 200mm, and the other half almost all the way in at 80mm; I'd probably be OK with an 85mm and a 200 or 300mm prime telephotos. I used my feet to do fine framing rather than the zoom collar, and could see the rough shape of the photo I wanted to take before I put the camera to my face.
I bought a nice DSLR camera body with a nice kit lens when I swapped to digital a few years back - love the camera, despise the lens. When you need the reach of a long lens, you really need it. It's hard to pre-visualize the scene when I have every focal length from wide to short telephoto to chose from, I just can't keep track of that, and I invariably find the exact wrong focal length waiting for me when I look through the finder.
Swapping lenses isn't that much of a chore, unless you're a news or sports photog, and for some photographers, the advantage in previsualization, larger maximum aperture, sharper resolution and ease of handling makes two or three primes a better deal than one do-it-all zoom, even accounting for the extra expense and effort of juggling three or more lenses rather than one. If I could do it over again, I'd get a cheaper body in a less expensive system, and spend some money on prime lenses instead.
This is a point of preference - I know people who love their kit zoom, and use one even when they have other options, including ultra-pricey primes, in the camera bag.
You'd do well to rent or borrow some equipment and see what you prefer.