Welcome to Sheffield! As everyone has said, there are loads of great walks, particularly in the Peaks, but also north and south of the city. The General Cemetery off Ecclesall Road is worth a look (seriously!)
If you like browsing around, Record Collector in Broomhill and Rare and Racy by Devonshire Green are good, as are some of the antiques places on Abbeydale Road. If you like lazing around, the Botanical Gardens, Peace Gardens and Devonshire Green are good bets.
There are the various museums mentioned, although none of them merit regular visits; there are also various art galleries which might be of interest - the Millennium Galleries and Graves Gallery are the main ones, with the Site Gallery showing multimedia stuff.
There are always plenty of free events in the summer, but in winter things are a bit thinner on the ground - free gigs at some of the pubs are probably your best bet.
If you like browsing around, Record Collector in Broomhill and Rare and Racy by Devonshire Green are good, as are some of the antiques places on Abbeydale Road. If you like lazing around, the Botanical Gardens, Peace Gardens and Devonshire Green are good bets.
There are the various museums mentioned, although none of them merit regular visits; there are also various art galleries which might be of interest - the Millennium Galleries and Graves Gallery are the main ones, with the Site Gallery showing multimedia stuff.
There are always plenty of free events in the summer, but in winter things are a bit thinner on the ground - free gigs at some of the pubs are probably your best bet.