I want to go shopping = Ich will einkaufen gehen. I like to go shopping = Ich gehe gerne einkaufen. (Occasionally, "gerne" means "want to", but only occasionally) würden = would (conditional) möchten = would like to brauchen = need I must add, it is almost impossible to confuse these three words. They are all very different.

Hello Anna, the correct translation to "I want to go shopping' is Ich will einkaufen/shoppen gehen. Out of the three verbs you provided, the closest translation would be Ich möchte einkaufen/shoppen gehen - I would like to go shopping. I don't know which context you are using shopping in, so just a heads up - you can go einkaufen mainly for groceries, shoppen on the other hand is for going shopping for clothes, shopping in department stores. Gruß, airabeth

ich möchte shoppen/einkaufen möchten = (want) in Englisch würden = (wish) in Englisch brauchen = (need) in Englisch