H4 dependant for child

Hi Team

Need a suggestion from you guys. I am travelling to US on H1B visa. My husband has B1/B2 visa.Last year he travelled to US twice for business visit.I have two year old child who has dependant H14 based on my visa.If i travel first and can my husband with B1/B2 visa accompany my daughter?Which type of visa do i need apply for my mother. Is it easy for her to get visa before my travel or later. Can my mother with tourist visa(needs to apply for her after my travel) accompany her? Can my husband apply for H4 visa. if he does, is there any impact that his B1/B2 visa will be cancelled.

Thanks for your reply