i also depend on bus services to get around, i am currently in stannington, the services up here are pretty frequent, both 82 and 83 cover stannington. these run bout every 10 min during the day and every 20 - 30 min after 6pm.
i used to live in oughtibridge, the 57 comes from the sheffield interchange straight along the main road into hillbro, oughtibridge then when it gets to deepcarr it goes around the tops, the 58 also comes straight from the interchange and into hillsbro, when it gets to hillsbro it goes up dykes hall rd over the top into oughtibridge and back on to the main road and straight into deepcarr and stocksbridge along the main rd these run bout every 1/2 hour after 6pm for each service and bout every 15 min b4 9am.
if you need any more info you could give travel line a call 01709 515151, they have all the bus times in sheffield and can tell you what services cover what areas. they can also tell you bout the super tram service which covers the main areas of sheffield