Cost of homemade soaps question

As I mentioned in my intro. I just found out I now have a severe allergy to fragrances & thought I might consider making my own soaps, lotions, shampoos. But after looking at some of the prices on the supplies I’m wondering if you really save any $ making them yourself.

Right now, I’m paying about $6 for a shower gel (which should last me about 5-6 months) & a lotion I can use that costs me about $6 and will probably last for two months because I have very dry skin even in the summer & $7 for a shampoo (which is concentrated so it lasts almost 2 months even with the 3 of us using it).

Any thoughts on whether making my own would be cheaper? Thanks for any advise,