For leisure trips I usually bring my Lowepro Flipside 400AW backpack. It is large enough to store my Canon 7D DSLR camera with several lenses, cleaning gear, filters, spare memory cards, chargers. I can even squeeze an ultrabook computer into it. I like this backpack because of its security design which prevents theft of your camera gear.
Depending on what kind of photos I plan to shoot, I normally carry a wide angle lens for landscapes (Canon EF-S 10-22mm) and a medium zoom general purpose shots (Canon EF 24-105mm L IS USM).
I also have a Canon 40mm STM prime lens for times when I just want to bring the camera without putting it into a bag. The pancake design of the 40mm allows for a non bulky package that I can just sling on my shoulder. I also have a telephoto lens (Canon EF 100-400mm L IS USM), but I only bring this if I plan to do any nature photography like birding.
The full tripod doesn’t always travel with me due to its bulkiness. Different security procedures at different airports also means that sometimes I can hand carry it up the plane, and sometimes I need to check it in. I use a Sirui carbon fibre tripod for its light weight and strength.
For business trips where I bring my DSLR, I usually just bring the 10-22mm lens and 40mm lens which are good enough for most situations. Other times I just use the camera on my smart phone.