The questioner asks: A neighbour of mine and his children harm me through their speech and actions, so will I be rewarded due to being patient with them?
There is no doubt that you will be rewarded (In-Shaa-Allaah) due to your patience in receiving harm from your neighbour and his children. This patience of yours is from good manners and kind treatment to your neighbour. Indeed Allaah (The Most High) advised His Messenger (sallal laahu alayhi wasallam) about showing kindness to neighbours, saying:
وَاعْبُدُوا اللَّهَ وَلَا تُشْرِكُوا بِهِ شَيْئًا ۖ وَبِالْوَالِدَيْنِ إِحْسَانًا وَبِذِي الْقُرْبَىٰ وَالْيَتَامَىٰ وَالْمَسَاكِينِ وَالْجَارِ ذِي الْقُرْبَىٰ وَالْجَارِ الْجُنُبِ وَالصَّاحِبِ بِالْجَنبِ وَابْنِ السَّبِيلِ وَمَا مَلَكَتْ أَيْمَانُكُمْ ۗ إِنَّ اللَّهَ لَا يُحِبُّ مَن كَانَ مُخْتَالًا فَخُورًا
Worship Allah and join none with Him in worship, and do good to parents, kinsfolk, orphans, Al-Masakin (the poor), the neighbour who is near of kin, the neighbour who is a stranger, the companion by your side, the wayfarer (you meet), and those (slaves) whom your right hands possess. Verily, Allah does not like such as are proud and boastful. [4:36]
The Messenger (sallal-laahu-alayhi-wasallam) said: Jibreel did not cease advising me (about the rights) of a neighbour to the extent that I thought he (i.e. the neighbour) would be my inheritor. [Reported by Bukhari and Muslim]
Therefore, be steadfast in exercising patience and you’ll receive reward and a good recompense from Allaah (In-Shaa-Allaah). There is no doubt that your neighbour is committing evil deeds, for indeed the Messenger (sallal-laahu-alayhi-wasallam) said: By Allah, he does not believe (i.e. he is not a perfect believer); by Allah, he does not believe (i.e. he is not a perfect believer); by Allah, he does not believe (i.e. he is not a perfect believer); It was said: Who O Messenger of Allah? He said: The one whose neighbour is not safe from his evil behaviour. [Reported by Bukhari]
[Source: Fadaa’il Al-A’maal page 30’ by Shaikh Muhammad Bin Abdillah As-Subayyil (rahimahullaah)]