Transplant raspberry bushes by digging up raspberry canes in the spring before new growth occurs. Garden Guides recommends using a shovel, digging about 6 inches around the perimeter of each cane, loosening the soil without disturbing the plant's roots. Remove the plant from the ground and set it aside while preparing the area to transfer the raspberry bushes to their new location.
Add compost to the soil where the plants are to be transplanted and use a spade to work it into and loosen the soil to a depth of about 5 inches, according to Gardening Guides. Dig holes in the soil 10 to 12 inches apart in rows 3 feet apart. Take the raspberry plants and place them into the holes, spreading out their roots into the soil. Fill in the holes and firmly press the soil down around the plants.
Gardening Guides suggests trimming the plants so that they are about 5 inches tall. Water the plants thoroughly when finished, and keep them well-watered for about 2 weeks after transplanting them. Add a layer of 2 inches of mulch around the base of the plants to prevent them from drying out, stop soil erosion and protect them from the cold.