Select a bucket that is at least 12 inches deep and a little over 1 foot across. The bucket should have a few holes in the bottom to allow for water drainage.
Add peat mixed with just a little vermiculite for moisture retention to your bucket. Fill the bucket to within about 6 inches of the top.
Add a fertilizer with a 1-2-2 ratio before you plant the carrots.
Use your finger or a stick to create holes for the seeds, making each hole abut 1/2 inch deep. Place the carrot seeds in the holes. Cover the carrots with soil , then water thoroughly to completely wet the soil.
Keep your carrots at a temperature between 60 and 70 degrees Fahrenheit to help them grow.
Remove some carrot plants once they grow to about 1 inch tall. Each carrot plant should be no closer than ½ inch from any other plant.
Water your carrot plants often.
Add more fertilizer when the carrot plants are around 4 inches tall.