The very first step to stopping cutting is to get rid of all the razors and blades in your house. If they aren't there, you can't use them.

Therapy takes a while, and it takes a while to go through all the things that cause a person Mental Pain, it's not a quick process. It also relies a lot on you and how honest and open your being with your Therapist.

As for the not cutting. Here is a list of things that you can try the next time you have the urge to cut. For most people the longer you put off the urge to cut and distract yourself, it will go away. So when the urge first starts to hit, find something to distract yourself. And don't just say, I tried nothing works, cutting is a very addictive behavior, it takes hard work to stop it and learn healthy coping skills in its place. You may have to do the same thing 5 times in a row before the urge goes away, but so what, the urge went away....

Alternative therapies: massage, reiki, meditation, acupuncture, aromatherapy
Bake or cook something tasty
Clean (and you get the satisfaction of a clean room or bathroom)
Craftwork: make things, draw or paint (I do Zentangling)
Dance your socks off, crank up the music and go for it
Eat your favorite sweet treat, that you only get every once in a while
Exercise for a release of endorphins and that feel-good factor
Forward planning – concentrate on something in the future, like a holiday
Go for a walk (speed walking works well here)
Go online and look at websites that offer you advice and information (wikihow.com, thehopeline.com)
Hang out with friends and family
Have a bubble bath with lots of bath bombs fizzing around you
Have a good cry
Hug a soft furry toy and tell it your problems
Join a gym or a club
Knit, sew, or crochet (it’s not just for old people you know)
Listen to music that inspires you and puts you in a positive mood
Moisturize your arms and legs with a firm touch
Open up to a friend or family member about how you are feeling
Pop bubble wrap
Phone a helpline or a friend
Play computer games
Play with a stress ball or make one yourself
Read a book, one you get lost in, that's hard to put down
Scream into a pillow
Spend time with babies (when they’re in a good mood)
Tell or listen to jokes, watch a comedian on TV
Watch funny Youtube video's
Go to an Animal Shelter and hang out in the kitten room (this used to help me alot)
Volunteer for an organization-helping those who have less than you, can make you feel much better about your self.
Write: Journal, diary, poems, a book
Write negative feelings on paper, or a letter to your pain, then rip them up
Yoga: meditation, deep breathing – this might help you relax and control your urges

If you need the feel of the pain of cutting or the sensation of dealing with the pain:

draw or scribble designs on paper using a red pen or paint on white paper — if it helps, make the paint drip

draw cuts on your skin with a red marker

rub/hold an ice cube on your skin instead of cutting it

wear a rubber band around your wrist and snap it against your skin

wrap your hands in ziploc bags, tape them around your wrist then stick your hands in cold ice & water

get a temporary tatoo of the jagged line your pain would look like.

There are many ways to trick/train your brain into thinking your doing what it wants, when in fact you don't have to actually hurt yourself. If you practice these things long enough you can break the cycle of cutting or self-harming.

OlderCPer is right, therapy and overcoming compulsions both take time. Be gentle with yourself, and give yourself both the space and the time to do this. You'll get there