I know lots of moms that have different disorders (bipolar, anxiety, OCD, etc....) and they are amazing moms. Since you know that you have this conditions, and are working on them, it shows that you are able to take responsibility for them and work thru them. That is truly ha.f of the battle. Lots of people can't even admit that there is something wrong.
Continue the therapy and doing the best that you can do. Use those supports out there when you need them. You can be an amazing mom. One of my best friends mom is bipolar and she was a single mom and she did an amazing job raising her daughter on her own. You can do it!!!
Im not really sure about the bipolar and anxiety but adhd does run in families according to my sons pedi. My husband and son both have adhd but my other son and daughter do not. So its possible your baby may not have it. I wouldn't stress about it, babies sense that. Its good you have a support system. Im not much help but I wish you the best and good luck.