Tech. pros.,,,please read on

Please forget the fact that I sound like a 1st grader, though I s'pose that's rude to say that. Even they know more about computers than I do.
I think I know the answers but it isn't worth losing you guys over. My question is this:

I want to change my Blog name. I know now that yes, there are people listening. Can I just change my blog name by going to profile or whatever? Will my same icon/"picture" still be the same as I wish it to be? And will I still be on your blog rolls if you are a follower?

I am two Xanax into my day. It's raining outside and also inside myself. Daughter and her family are close to being homeless. I can't help them financially anymore and there's nowhere they can go. Son-in-law still doesn't have a job. Now $200 a month is being taken out of my daughter's paycheck for college bills so yeah,...it's about as bad as it gets. It's breaking my heart. All these years, they haven't followed anyones advice but still,....and yes, they kind of got themselves into this bind. But pray please for their health and wellbeing as well as a financial miracle. Thanks.

Oh, and get back to me on that name change if you can.