It is recommended to remember Allah when entering your home. One way to do so is to say:

بِسْمِ اللَّهِ

"In the name of Allah."

إِذَا دَخَلَ الرَّجُلُ بَيْتَهُ، فَذَكَرَ اللَّهَ عِنْدَ دُخُولِهِ وَعِنْدَ طَعَامِهِ، قَالَ الشَّيْطَانُ: لَا مَبِيتَ لَكُمْ وَلَا عَشَاءَ، وَإِذَا دَخَلَ فَلَمْ يَذْكُرِ اللَّهَ عِنْدَ دُخُولِهِ، قَالَ الشَّيْطَانُ: أَدْرَكْتُمُ الْمَبِيتَ، وَإِذَا لَمْ يَذْكُرِ اللَّهَ عِنْدَ طَعَامِهِ، قَالَ: أَدْرَكْتُمُ الْمَبِيتَ وَالْعَشَاءَ

The Prophet, peace and blessings be upon him, said: "When a man enters his home and remembers Allah upon entering and when eating, Shaytan says: You have no lodging for the night and no supper. If he enters without remembering Allah upon entering, Shaytan says: You have found lodging for the night. If he does not remember Allah when eating, he says: You have found lodging for the night and supper."

Narrated by Muslim (2018).

The hadith encourages remembering Allah when entering and when eating, without specifying a lengthy supplication. Saying Allah's name is a form of remembrance. Therefore, saying it at the door does not replace saying it before eating. You can find what to say at mealtimes in Adhkar for Food and Drink.

When you enter and your family is present, greet them. One wording of the greeting is:

السَّلَامُ عَلَيْكُمْ وَرَحْمَةُ اللَّهِ وَبَرَكَاتُهُ

"Peace be upon you, and Allah's mercy and blessings."

السلام عليكم

It is also sufficient to say: Peace be upon you. Allah, the Most High, says:

{لَيْسَ عَلَى الأَعْمَى حَرَجٌ وَلَا عَلَى الأَعْرَجِ حَرَجٌ وَلَا عَلَى المَرِيضِ حَرَجٌ وَلَا عَلَى أَنْفُسِكُمْ أَنْ تَأْكُلُوا مِنْ بُيُوتِكُمْ أَوْ بُيُوتِ آبَائِكُمْ أَوْ بُيُوتِ أُمَّهَاتِكُمْ أَوْ بُيُوتِ إِخْوَانِكُمْ أَوْ بُيُوتِ أَخَوَاتِكُمْ أَوْ بُيُوتِ أَعْمَامِكُمْ أَوْ بُيُوتِ عَمَّاتِكُمْ أَوْ بُيُوتِ أَخْوَالِكُمْ أَوْ بُيُوتِ خَالَاتِكُمْ أَوْ مَا مَلَكْتُمْ مَفَاتِحَهُ أَوْ صَدِيقِكُمْ لَيْسَ عَلَيْكُمْ جُنَاحٌ أَنْ تَأْكُلُوا جَمِيعًا أَوْ أَشْتَاتًا فَإِذَا دَخَلْتُمْ بُيُوتًا فَسَلِّمُوا عَلَى أَنْفُسِكُمْ تَحِيَّةً مِنْ عِنْدِ اللَّهِ مُبَارَكَةً طَيِّبَةً كَذَلِكَ يُبَيِّنُ اللَّهُ لَكُمُ الآيَاتِ لَعَلَّكُمْ تَعْقِلُونَ}

{There is no blame on the blind, nor on the lame, nor on the sick, nor on yourselves for eating from your own homes, from the homes of your fathers, your mothers, your brothers, your sisters, your paternal uncles, your paternal aunts, your maternal uncles or your maternal aunts, from homes whose keys you hold, or from your friends' homes. There is no blame on you for eating together or separately. When you enter homes, greet one another with a blessed, good greeting from Allah. Thus Allah makes the signs clear to you, so that you may understand.} [An-Nur: 61].

Greet your family even if you return after only a short absence. This greeting is a supplication for their peace and safety, and for Allah's mercy and blessings upon them.

When leaving, say:

بِسْمِ اللَّهِ، تَوَكَّلْتُ عَلَى اللَّهِ، لَا حَوْلَ وَلَا قُوَّةَ إِلَّا بِاللَّهِ

"In the name of Allah. I place my trust in Allah. There is no power and no strength except through Allah."

إِذَا خَرَجَ الرَّجُلُ مِنْ بَيْتِهِ فَقَالَ: بِسْمِ اللَّهِ، تَوَكَّلْتُ عَلَى اللَّهِ، لَا حَوْلَ وَلَا قُوَّةَ إِلَّا بِاللَّهِ

يُقَالُ حِينَئِذٍ: هُدِيتَ، وَكُفِيتَ، وَوُقِيتَ، فَتَتَنَحَّى لَهُ الشَّيَاطِينُ، فَيَقُولُ لَهُ شَيْطَانٌ آخَرُ: كَيْفَ لَكَ بِرَجُلٍ قَدْ هُدِيَ وَكُفِيَ وَوُقِيَ

Anas ibn Malik, may Allah be pleased with him, reported that the Prophet, peace and blessings be upon him, said: "When a man leaves his home and says: In the name of Allah. I place my trust in Allah. There is no power and no strength except through Allah." He said: "At that time it is said: You have been guided, granted sufficiency and protected. The devils then move away from him, and another devil says: How can you approach a man who has been guided, granted sufficiency and protected?"

Narrated by Abu Dawud (5095), and graded authentic by al-Albani.

Umm Salamah, may Allah be pleased with her, reported that the Prophet, peace and blessings be upon him, never left her home without raising his gaze to the sky and saying:

اللَّهُمَّ إِنِّي أَعُوذُ بِكَ أَنْ أَضِلَّ أَوْ أُضَلَّ، أَوْ أَزِلَّ أَوْ أُزَلَّ، أَوْ أَظْلِمَ أَوْ أُظْلَمَ، أَوْ أَجْهَلَ أَوْ يُجْهَلَ عَلَيَّ

"O Allah, I seek refuge in You from going astray or being led astray, from slipping or being made to slip, from wronging others or being wronged, and from behaving foolishly or having others behave foolishly toward me."

Narrated by Abu Dawud (5094), and graded authentic by al-Albani.

You ask Allah not to let you go astray or be led astray by someone else, slip or be caused to slip, or wrong anyone or be wronged. Ignorance here includes foolishness and aggression, not merely a lack of information. The supplication brings together asking Allah to protect you from mistreating others and from their mistreatment of you.

You may say both this supplication and the earlier supplication of reliance upon Allah. Combining them is not obligatory, and their combined wording should not be attributed to a single hadith.