Quick answer
Вы́зовите такси́, пожа́луйста.
výzavitye taksí — вы́звать for ordering one to come — not позва́ть
The options
вы́звать, not позва́ть
Вы́звать means to summon something to come to you: a taxi, a doctor, the police, a repairman. Позва́ть means to call a person over who is already nearby. Mixing them up produces sentences that sound genuinely odd.
In the car
Куда́ е́дем? — where to? Answer with на or в plus the accusative: На вокза́л. В аэропо́рт. На у́лицу Ле́нина, дом пять. Then Остано́вите здесь, пожа́луйста — stop here, please.
Apps and prices
Most taxis are ordered through an app, which removes the whole conversation and fixes the price. If you flag one down, agree the price first: Ско́лько до це́нтра?. По счётчику — by the meter — is rare in practice.
What you hear back
Typical mistakes
Позови́те такси́.
Вы́зовите такси́.
A taxi is summoned, not called over.
в вокза́л
на вокза́л
Stations are на places.
Check yourself
Which verb orders a taxi?