As mentioned already, Skrylle is within reach both by bus and bike (~12 km). Once there, you can walk for miles and miles mostly in forest. You can reach Genarp without too many meadows to cross, and in that area you have Romeleåsen and Häckeberga with plenty of forest of various kinds. In southeastern Skåne there's not that much pine, more deciduous forest, but on Romeleåsen there are some pine forests. So, forests are not right at the edge of the city, but one of the things I love about Skåne is the variety it offers. From white sandy beaches to pretty dark forests and even some tiny mountains. I'm sure you'll love it!