Woodhouse has a reputation for being a crime hotspot. Don't recommend it.
Hyde Park is a bit better, but because it's a studenty area it's a target for theives. Be sensible about your safety (don't get a house with a basement window you can climb through, always lock your doors, hide your valuables from view) and you should be okay.
Headingley's pretty good but it's further away.
You can get away with £75/w including bills if you look hard enough.