You run in a hoodie when it is hot? One that advertises how well it fits over two underlayers?
For outdoor exercising, I wear a cotton t-shirt and shorts appropriate to the exercise (cotton cargo shorts for skating, padded bike shorts for long bike rides, loose polyester shorts for running). For yardwork I may use a long-sleeve cotton shirt and jeans if there are lots of scratchy or sticker-y things. For building, cotton t-shirt and cargo shorts if I can get away with it, thin cargo pants if I can't. I don't particularly care for the look of cargo shorts, but I really appreciate the pockets. I have a vented, wide-brimmed hat for working and gobs of sunscreen.