I don't think any soap is going to moisturize. Some oils are have more conditioning qualities than others. All the oils you have listed should make a good bar of soap.
I came up with this combination using SoapCalc. If you add 1 Tablespoon of sugar per lb. of oils to the liquid and dissolve before adding the lye, you will get more bubbles with this combination.
10% Sunflower
20% Coconut
40% Olive EV
20% Palm
10% Shea
Dove contains Cocamidopropyl Betaine & Sodium Lauroyl Isethionate which are detergents. The only conditioning ingredient listed is tallow.
Here is a link with the ingredients:
I would set the superfat to 10% and try a small batch to see how you like it. I would be hesitant to add oils without figuring them in with the other oils.