You have received a lot of excellent advice so far, so I have only one thing to add other than practise, practise and more practise.... preferably not on your new car.
Working the clutch is a delicate balancing act between the clutch and the accelorator. Every engine has a different feel for what is right as far as revs are concerned when letting out the clutch. As the clutch comes out, so the accelerator should go in... gently and slowly.
You know you've perfected it when you can hold the car on a steep incline without using the brake, and then slowly and smoothly pull forward without sliding back at all.
Lastly, note that it's harder, and requires more precise balancing, to shift up than to shift down.
Good luck and enjoy your new car 🙂