1st hadith:
In Sunan Abu Dawd. Under Chapter: Washing the hands before eating(12):
Narrated Salman al-Farsi: I read in the Torah that the blessing of food consists in ablution before it. So I mentioned it to the Prophet (ﷺ). He said: The blessing of food consists in ablution before it and ablution after it. Sufyan disapproved of performing ablution before taking food.
Abu Dawud and Albani said: Hadith is weak.
2nd Hadith:
Kathir bin Sulaim narrated that he heard Anas bin Malik say: "The Messenger of Allah (ﷺ) said: ‘Whoever would like Allah to increase the goodness of his house, should perform ablution (wash hands) when his breakfast is brought to him and when it is taken away.’"
Sunan Ibn Majjah - sunnah.com. Also Weak hadith
Although these hadiths are weak, it is ok to follow them since they are considered Fada'el al A'amal(فضائل الأعمال).
Also, there were no mention of soap. So you are free to use whichever material that helps clean your hands.