Hajj Types: Tamattu, Qiran and Ifrad
There are three ways to perform Hajj, all valid.

Tamattu
Enter Ihram for Umrah during the Hajj months, complete Umrah and exit Ihram, then enter Ihram again for Hajj on 8 Dhul Hijjah. A hady is required; if unable, fast three days in Hajj and seven on return (Qur'an 2:196). This is the most common for those travelling from abroad.
Qiran
Intend Umrah and Hajj together and remain in Ihram until 10 Dhul Hijjah. A single Tawaf and Sa'i may suffice according to the majority; a hady is required.
Ifrad
Hajj only, with no hady. Pilgrims remain in Ihram until 10 Dhul Hijjah.
Choosing
Scholars differ on which is best; the Prophet ﷺ is reported to have been in Qiran, and many scholars advise Tamattu for ease. Know which your provider has arranged before you travel.