Some cameras offer digitally enhanced resolution to simulate more pixels. However, the result is not the same as shooting at higher resolution. If you have a film camera that you're comfortable with, look for a digital camera with similar features. Select an inexpensive, easy to use camera and start tormenting every one. Printers are being designed now for just this purpose.
Some cameras even use standard or high capacity floppy discs for storage.
Beware of inexpensive cameras that do not use removable storage media. They limit the number of pictures you can take at one time and usually extend downloading time considerably. Once you have transferred your images from the camera to your computer you can store them on your hard drive, zip disc or other storage media. Of course, writing to a CD provides the most cost effective means of storing large numbers of images. If you don't have that capability there are web sites where storage and sharing service is available.