The next generic verb of motion is пойти. Note especially its irregular past tense forms.

Пойти is more specialized than ходить in that it always talks about motion in one particular direction; since it is perfective it also focuses on some result of the action:

In that sentence, the result is that I arrived at the pharmacy and thus could make my purchase.

Пойти can also be used to describe each leg of a multileg journey:

Of course you can do the same thing in the future tense:

Now here's something amusing... let's think about this English dialog:

Does the second sentence imply that Mom got to the store? No, it doesn't. Here it emphasizes absence from the point of departure while mentioning her intended destination. Likewise in Russian a perfective verb of motion can be used with meaning of “absence from point of departure”:

The sentence does not say whether Mom has necessarily reached the store, just that she is no longer here.

¹ In terms of the classical description of English grammar, this sentence should be, “She has gone to the store.” For some English speakers that is still the best version of the sentence, but the English present perfect is slowly being replaced by the simple past, so “She went to the store” sounds perfectly normal for many speakers of American English.