I ordered my seeds last week, which is already pushing things, so if you're interested, get seeds NOW.
Step 1: When your seeds arrive, soak them for 8 hours in a bowl of water.
Step 2: Mix seeds in with some sand, and place in the refrigerator for two weeks (this tricks the seeds into thinking they've been through a winter and will help ensure production.
Step3: Plant seeds in a seed starting mat, (or whatever you use to start seeds).
Step 4: After seeds sprout, keep them under grow lights during the day to help them grow without getting leggy.
Step 4.5: Prepare soil outdoors by adding lots of organic matter, down to 12 inches in depth, so the roots can grow easily.
Step 5: Plant outdoors 3-4 weeks BEFORE the last average frost free date.
Step 6: Keep watered, mulched, and fertilize using a nitrogen rich fertilizer.
Good luck with yours. I can hardly wait. I love artichokes, and hope we get a big harvest.