I live in the area, between Dartmouth Road and upper Kirkdale, which you're thinking of moving to, 'Baytree', and have done for thirty years; our daughter went to Eliot Bank school. We have had hardly any experience of crime or anti-social behaviour; the area is quiet, friendly and neighbourly. I've walked home regularly from the station at all times of day and night, past the 'notorious' Bird in Hand, and have never encountered anything remotely alarming. Whether there are any problems with on-street parking depends partly, I suspect, on how near Dartmouth Road you are; where we are, nearer to Kirkdale, is fine.
Feel free to send me a PM if you need more info.