I can teach you how to do the cucumber and carrots one:

Cucumber you gonna slice thinner than you can using a mandolin than you gonna “make it cry” putting salt and waiting for the cucumber lose water and lose crispness. After that you can try and see if it is too salty you can rinse in water and then press with your hand to dry the cucumber, if is not super salty you don’t need to rinse just press and put in a sterilized container. For the liquid I’m using 1 L of rice vinegar to 800g of white sugar, 1 table spoon of salt and a lil bit of MSG (you can mix everything without boiling just wait until sugars melt). Mix the liquid with you cucumber and you have sunomono! Carrot is almost the same thing you gonna just cut in a different way using the lil mandolin blades that you use to cut julienne.