I realize that the neighborhoods are described in the Top questions about Barcelona link and that this question has been asked many times, but we are still having trouble deciding on a neighborhood and time is running short (we will be there the second week of September). So, I am begging for some more opinions.
For background, we are an older couple and will be arriving by train from southern France, then leaving by plane to return to the States. We like to walk as much as possible rather than rely on public transportation though the occasional cab or bus is fine. We would like to see both cathedrals, of course, and a few of the museums but tend to take things slow, that is, maybe one museum and/or church in a day with the rest of the time spent relaxing and people watching. If budget matters as far as neighborhoods are concerned, we would like to keep the cost to 200 euro or under a night.
Any suggestions would be much appreciated. I have made so many decisions for this trip that this one seems to be overwhelming.