Yes, you can reuse the race. Every headset uses a different race, so it's a pain to get a replacement since you have to special order it. Shops have a special tool to take them off with. If you do it yourself, I recommend getting a U-bolt from a hardware store that will span the race and gently tap. Works much better than a screw driver because you are putting force on 2 sides at once.
Since you are getting your new fork at the shop, just have them do it. Much easier.