There is no limit to the low cost lights you will find on ebay. Absolute masses of them. To be blunt, they are there to lure the un-informed into thinking they are getting something for next to nothing. With lighting, you get what you pay for. Those are low power, cheaply made units that would be lucky to work for a year. Also, as Deep Blue said, you really need flash type lights, (called strobes), for what you want to do. The lights like you are looking at will require the subject to be still and the camera mounted on a tripod. Needless to say, that will NOT work with any kind of newborn / child photography.
The business aspect of it is taken way to lightly by too many people today. When you start this kind of thing, if you do not have the proper legal matters in order, as well as contracts and liability insurance, you are just begging or all kinds of problems in the future. Too many people want to play "professional photographer" today, ... most of them don't last long and many end up in court.
I also agree, you need some unbiased opinions on your husband's work.
Bottom line, I think you need to listen to your husband in this matter. Hopefully, he realizes some of the things we are talking about. Get some lights if you want, but do it for fun and a hobby. Don't go into it thinking you are going to make "money on the side". That is a very slippery slope and you don't really want to go there.
ADD: After typing this I see you posted a photo. Sorry, but I could find lots of problems with this. It is not pro quality work. I am absolutely running late and HAVE to get off here, maybe Deep Blue will check back and give you some critique. I just don't have time. It is not a "bad" photo, but just not what it needs to be. Plus, that is ONE photo, is that all you have to show? If you want to approach this as a business, you are going to need a quality portfolio for clients to see, and that does not mean one photo on Facebook. Sorry, .... got to go.