The background blur effect is enhanced by:
1) Low focal ratios (low f-stop values)
2) Long (high focal length values)
3) Closer subject distance and farther background distance.
The problem with the kit lens is that as the focal length gets LONGER (which should improve the background blur) the minimum f-stop gets higher... so high that it's not longer good for a pleasantly blurred background blur.
When you use a low focal length then you can't attain the effect EVEN with a low-focal ratio. For example... I have a 14mm wide angle lens with an f/2.8 focal ratio. Normally f/2.8 is great for background blur EXCEPT at the 14mm length it just wont work. I can focus my 14mm lens to about 3' and even at f/2.8 I will get absolutely NO background blur at all.
As for zoon lenses that can maintain a low focal ratio all throughout the range, yes they make them BUT they are expensive.
For example:
AF-S DX Zoom-Nikkor 17-55mm f/2.8G IF-ED from Nikon
If you think the focal length range on that zoom is astonishingly close to your kit zoom... you'd be right. EXCEPT that lens can maintain an f/2.8 focal ratio at all focal lengths. But notice it's $1500+ price tag.
You can pick up a 50mm f/1.4 lens for less than a third of the price (nearly 1/4 of the price).
The reason I don't normally suggest shooting all the way down at f/1.4 is for two ... ok three reasons.
#1 At a 50mm focal length you'll find the effect is already pleasant at f/2.8 and it'll be great at f/2.
#2 Most lenses don't yield their best work at "wide open". The image quality at f/2 will be better than the image quality at f/1.4 (even though the intensity of the background blur will be less.)
#3 When you get to very low focal ratios (e.g. f/1.4) the depth of field starts to become extremely thin... so thin that your subjects face wont entirely be focused. You may notice their eyes are focused sharply but their nose and ears are actually slightly soft (or extremely soft depending on how close they are.)
Probably you will love the look at f/2, you'll be able to control the depth of field (depending on the subject distance... you can use a site like DOFmaster.com to calculate the depth of field) and the image quality will be better than it is at wide open. When I use 100mm lenses, I often use f/4 rather than f/2.8.