* The specific Chevy engine: Small-block Chevy V8s (like the 350) are the most commonly swapped engines due to their abundance and availability of parts. Big-blocks are also popular, but they're larger and heavier. Other Chevy engines (like inline-6s or 4-cylinders) are less commonly swapped.
* The recipient car: Some cars are easier to swap engines into than others. Cars with similar engine bay dimensions and mounting points will require less modification. Older cars generally require less modification than modern ones, which often have sophisticated electronics and safety systems that need to be integrated or bypassed. Rear-wheel drive cars are significantly easier than front-wheel drive cars.
* Your mechanical skills and budget: Engine swaps can range from relatively straightforward to extremely complex, requiring significant fabrication, welding, and wiring skills. The cost of parts, labor (if you're not doing it yourself), and any necessary modifications can vary widely.
In short, you need to specify both the Chevy engine *and* the car you want to put it in to get a meaningful answer. Many forums and websites dedicated to car modifications can provide detailed information on specific swap projects.