The only way to remove ‘liked‘ properties and saved properties is one by one.
To ‘unlike‘ a home, simply click on ‘My Swaps‘ in the menu and select ‘Homes I Like‘, then on the home you want to remove, click on the ‘Don’t like‘ button.
To remove a saved search go to the ‘My Swaps‘ section again and click on the ‘Saved Homes‘ option from the drop down menu. Then click on the dustbin icon next to the home you want to remove.