The determinate verb for “to carry” in Russian is нести:

This is a determinate imperfective verb which means it is used to describe motion heading in a single direction. Although it means “to carry,” it is often best translated with variations on ‘take’ and ‘bring’:

The most generic verb for “to carry” in Russian is носить. Note the consonant mutation in the я form:

This is an indeterminate imperfective verb which means it can be used with the preposition по + dative to indicated carrying something here and there, all over the place:

Most indeterminate imperfective verbs can bear the meaning of “go there and back.” Носить is a bit odd in that it really isn't considered good style to use the verb that way. You will find it used conversationally, though, in that sense:

Notice that the translation of the last sentence doesn't contain the word “carry” in it. It is often the case that the Russian verbs of carrying (носить, нести, возить, везти, and the dozens of words derived from them) are best translate with “bring” or “take” in English.

Носить can also be used to take something to a particularly place on multiple occasions:

The most generic perfective verb for travelling by air in Russian is полететь “to fly”:

Perfective verbs like полететь have several different uses. The nature of the perfective verb is to put focus on the result of an action, so полететь can mean “to head off somewhere by air and actually arrive there.” Thus it can be used to describe a series of flights, each one complete:

The verb can also mean “to go and arrive” on a single trip; we see it in that meaning in a headline from Guy Laliberté's recent flight into space. (He is the founder of Cirque du Soleil).

One last use is a colloquial one. It can also mean “I'm gone,” just as побежал and пошёл can.

Another verb for travelling by air in Russian is лететь “to fly”:

This is a determinate (unidirectional) verb of motion, which means it is normally used to indicate a flight currently in progress. Thus if you glance at the sky and spot an airplane, you might say:

If you are a friendly type of person, chatting with your fellow passenger on an aircraft, you might have the following dialog:

Time for a pop quiz: what verb should you use when you see birds in flight? The multidirectional летать or the unidirectional лететь? Come up with an answer, then scroll down to see my response.

The answer is: it depends. Let's say you are sitting on a bench, and you see a bunch of swallows darting hither and thither. In that context you will use the multidirectional form:

But if a mother spots geese going in a particular direction, she will use the unidirectional verb to test her son's knowledge:

The verb pair приходить/прийти is usually translated as “to arrive, come.” Notice that there is an й in the perfective infinitive:

In English we often use the preposition “at” with the verb “arrive,” so we have to bear in mind that for Russians arrival is a motion; that is, you complement the verb with either в/на + accusative or with к + dative:

Now here's an interesting quirk. Compare these two sentences:

1. Профессор пришёл в университет в восемь часов утра.
2. Профессор пришёл в Москву в восемь часов утра.

Although the sentences are grammatically identical, (1) sounds perfectly natural, whereas (2) sounds awful. That's because the stems ход- and ид- often imply going somewhere by foot, and it's quite uncommon to travel to a city by foot. In other words, avoid приходить/прийти when talking about travel over a long distance.

One last quirk. When someone knocks at a door, in English the response is “Come in.” Beginning students sometimes translate that as «Приходите, пожалуйста». A Russian will never say приходите in that context because the person knocking has in fact already arrived. Instead a Russian will express that idea with входить/войти “to enter”: