Praise be to Allah, the Lord of the Worlds; and may His blessings and peace be upon our Prophet Muhammad and upon all his Family and Companions.
You do not have to wash your hands after touching these things, because they are pure in principle.
We advise you to get rid of these whispers. If you touch something just ignore that and do not wash your hands. You have also to seek refuge in Allah from Satan, as it is Satan who is causing these whispers to make you hate the actions of worship.
If you train yourself to leave these whispers, you can, Insha Allah, return to your natural behaviour.
You have to make an effort in supplicating Allah to free you from these insinuations.
We ask Allah to forgive you and cure you from this.
Allah knows best.