I would go with the pre-made base and add your own colours and essential oils/fragrance oils
Cold process soap is not a good one to make with children about or animals.
Bear with me and will find some tutorials for you.
Basics you would need
glass measuring jug
moulds silicone ones again are good
spatula's I prefer silicone ones
Weighing scales
Ingredients such as soap base, colourants, these can be natural or artificial, fragrance oil or essential oil,
a mixing bowl.
Bathbombs are also a great idea to make with children, my youngest loves bathbombs.
Also bath salts.
Lip balms
also you can buy the base ready made to add fragrance and colour to for shower gels, bubble bath, shampoo's, moiturisers,
Here is a site that sells the basics of what you would need
http://www.justasoap.co.uk/soap-maki...ur-soap-bases/
Please don't make cold process soap with your little one, it uses caustic soda which can be dangerous, but the pre- made base on the melt and pour soaps are ideal to make with children
Here is a video on how to make soap, but there are many many ways, if you google how to make melt and pour soap and there will be lots of videos on youtube aswell