ما هي كيفية الصلاة في مذهبي الإمام أبي حنيفة والإمام الشافعي، وهل تختلف بينهما؟

The pillars of prayer according to the Shafi'is are: intention (niyyah) coupled with the opening takbir (takbirat al-ihram), standing (qiyam) for obligatory prayers when able, the opening takbir, reciting Al-Fatiha, bowing (ruku'), rising from bowing (i'tidal), prostrating twice in each rak'ah, sitting between the two prostrations, the final sitting, reciting the tashahhud in the final sitting, sending blessings upon the Prophet (peace be upon him) after the final tashahhud, the first taslim (salutation), and observing the proper order of these pillars.

As for the Hanafis, the pillars of prayer are: standing, bowing, prostrating, reciting, the final sitting for the duration of the tashahhud, observing the proper order of the pillars, completing the prayer, moving from one pillar to another, while intention and the opening takbir are conditions, not pillars.