Congrats Brenda and welcome. You don't have to use baby shampoo unless you really want to. There are some organic shampoos that work just as well without any SLS dyes or any funky chemicals.
I've had to do chemo 2 times 4 years apart. The first time was the harshest, 2nd time wasn't as bad, I didn't lose all my hair thankfully.
However, both times when my hair grew out after chemo the first time it was NOT its normal texture. It was like that for about a year. I'm normally a 4 something and this was like a very loose 3. Believe me, if you've had any type of curly hair, in time it will change back.
About the only thing I noticed was how fragile my was even though it was natural. I would do a basic wash and condition and thats it as it was quite thin coming back that first time. All I can say is wait until you know exactly what your hair and scalp will react to something.
I was told by my doc to not relax for at least a year. Not sure why that is, but I paid attention and let my hair do whatever it wanted naturally. SO anything harsh wouldn't be a good idea to do.
Good luck to you and I'm sure you're going to look forward to your first birthday.
-A