Nowhere near Asda. I don't even like going into that Asda.
Longlevens, Abbeymead, Abbeydale, Quedgeley, Churchdown, Hucclecote - all nice and safe.
I worked in Brockworth and it was fine. Looked at houses there when I was buying.
Avoid - Barton, Tredworth, Matson, White City, Podsmead, Kingsholm, Kingsway, Coney Hill.
Tuffley isn't terrible, but some places are nicer than others.
I used to live in Hardwicke and don't rate it. Always felt a bit "rough".
Hempsted has nice houses but that's where the dump is so I'd avoid for the smell alone.
I don't know enough about Barnwood, Robinswood, Saintbridge or Elmbridge so no idea.
It would help to know your budget.