Take a look at either a Hoya 9-stop or B+W 10-stop ND filter...these will be your best bet for using in bright sunlight. You can even stack it with a CPL to get even more light reduction (up to 12-stops if using the B+W filter), or a second ND filter. Do yourself a favor:
1.) Stay away from homemade, DIY variable ND filters. The IQ is generally terrible...not worth the time or effort. I have yet to see any image taken with one of these that would make me say 'Wow".
2.) Don't use a piece of welding glass...poor IQ, bad color-cast, with same result as above.
3.) Use only quality ND filters. When you get into long exposures, the camera's internal AA filter tends to allow some IR light to reach the sensor, causing a magenta color-cast to the image. The severity of the color-cast, at least in my opinion, seems proportional to the quality of the filter.
Even a quality variable ND filter such as the Singh-Ray is not strong enough to do what you're describing...just not enough stops for bright sunlight use. Variable ND filters also have some focal length limitations...at very wide focal lengths and max density, you'll get a lot of unevenness in the image due to how the filter halves interact with one another. Personally, I do use the Singh-Ray Vari-N-Duo, which is a variable ND combined with an integral polarizer. I also have several B+W ND filters, namely the 3, 6, and 10-stop varieties. Different situations call for different filter strengths...