Hmmm let's see...for shampoo and conditioner I would suggest:
Herbal Essences Hello Hydration
And I'm not sure where you live and if they have a Trader Joes but I love their Nourish Spa shampoo and conditioner.
Right now I'm using Tresemme Naturals and it's working out so far.
For a moisturizer I use Qhemet Amla and Olive Heavy Cream...this is a little pricey but a little goes a long way so I feel it's worth it and it works so well for me because my hair gets very dry.
And for oils I use Jojoba oil and I've revisited Vatika Oil. I wasn't crazy about it at first but I do like it.
I like to keep things simple so I don't use a lot of products so I hope this helps.
I transitioned for a year and a half before I cut off all my relaxed ends.