I dislike
Isabella a lot. It's such a prissy name, perfect for a spoilt little princess of a girl dressed in endless frills who throws a tantrum when she doesn't get what she wants. When I was working in schools, this stereotype was very much confirmed. That being said, I can respect the history of the name and there are definitely worse names out there to lump on your child for life. But I just don't like it.
I do like
Izzy as a nickname quite a lot though. In my experience,
Izzy is usually the nickname for
Isabel (and the spelling variants) and
Isabella tends to get
Bella (which I despise).