Ways of saying Isti’aadhah and Basmalah when quoting from the middle of one soorah and then from the middle of another
Question

                What are the ways of saying Basmalah (i.e., “Bismillaah il-Rahmaan il-Raheem”) between the middles of soorahs, such as moving from the middle of Soorat al-Baqarah then saying Bismillaah and moving to the middle of Soorat al-Hashr? 

Is one way to say Basmalah straight after the first quotation and then recite the second quotation, which is called connecting all together? And what is the other way? Please tell us whether there is a book that discusses this.
Praise be to Allah.
    After researching and looking into the matter, we did not 
    find any comments of the scholars of tajweed and recitation concerning this 
    particular issue, in the commentaries on al-Shaatibiyyah, 
    al-Jazariyyah, al-Durar al-Lawaami’ and others, namely on the 
    issue of the ways of isti’aadhah (saying “A’oodhu Billaahi min al-Shaytaan 
    al-rajeem (I seek refuge with Allaah from the accursed Shaytaan)) and saying 
    Basmalah when moving from the middle of one soorah to another. Hence we 
    cannot give the questioner the names of the sources and references. But what 
    we found with some contemporary specialists in tajweed is the statement that 
    one may move from the middle of one soorah to another without saying 
    Isti’aadhah or Basmalah; rather one should pause briefly. 

    Shaykh Husaam al-Keelaani says: 

    There is no need to say Isti’aadhah or Basmalah when moving 
    from one soorah to some verses in another soorah that are not at the 
    beginning of it. End quote. Al-Bayaan fi Ahkaam Tajweed al-Qur’aan, 
    p. 27. 

    There may be some evidence for that in khutbat al-haajah 
    which the Prophet (blessings and peace of Allaah be upon him) used to say in 
    his khutbah and which he taught to his Companions. The Prophet (blessings 
    and peace of Allaah be upon him) used to recite in it a number of verses 
    from various soorahs, and it is not narrated that he said Isti’aadhah or 
    Basmalah. It was narrated that ‘Abd-Allaah ibn Mas’ood (may Allaah be 
    pleased with him) said: The Prophet (peace and blessings of Allaah be upon 
    him) taught us Khutbat al-Haajah: Al-hamdu Lillaahi nasta’eenahu wa 
    nastaghfiruhu, wa na’oodhu billaahi min shuroori anfusinaa wa sayi’aati 
    a’maalinaa. Man yahdih Illaahu falaa mudilla lahu wa man yudlil falaa 
    haadiya lahu. Wa ashhadu an laa ilaaha ill-Allaah wa ashhadu anna Muhammadan 
    ‘abduhu wa rasooluhu (Praise be to Allaah, we seek His help and His 
    forgiveness. We seek refuge with Allaah from the evil of our own souls and 
    from our bad deeds. Whomsoever Allaah guides will never be led astray, and 
    whomsoever Allaah leaves astray, no one can guide. I bear witness that there 
    is no god but Allaah, and I bear witness that Muhammad is His slave and 
    Messenger). 

    “O mankind! Be dutiful to your Lord, Who created you from 
    a single person (Adam), and from him (Adam) He created his wife [Hawwa 
    (Eve)], and from them both He created many men and women; and fear Allaah 
    through Whom you demand (your mutual rights), and (do not cut the relations 
    of) the wombs (kinship). Surely, Allaah is Ever an All‑Watcher over you”

    [al-Nisa’ 4:1]

    “O you who believe! Fear Allaah as He should be feared, 
    and die not except in a state of Islam (as Muslims) with complete submission 
    to Allaah.)’ 

    [Aal ‘Imraan 3:102]

    “O you who believe! Keep your duty to Allaah and fear Him, 
    and speak (always) the truth.

    71. He will direct you to do righteous good deeds and will 
    forgive you your sins. And whosoever obeys Allaah and His Messenger (صلى 
    الله عليه وسلم), he has indeed achieved a great achievement (i.e. he 
    will be saved from the Hell‑fire and will be admitted to Paradise)”

    [al-Ahzaab 33:70-71]

    Narrated by Abu Dawood, no. 2118; classed as saheeh by Shaykh 
    al-Albaani in Saheeh Abi Dawood. 

    And Allaah knows best.