As simple as that set is if you like we could help you make your own plans. The type of wood I would recommend would largely depend on what kind of environment it will be in. If it will be out in the direct sun and rain I would prefer pressure treated wood. I built a picnic table about 30 years ago and would still usable. Sort of abandoned the table about 20 years ago. It has no finish or anything on it now but doesn't rot. You can't just go buy pressure treated wood and start building though. When the wood comes into the lumber company it's dripping wet with the chemical they use. If the wood isn't dried first you can experience a lot of warpage problems. I will normally buy the wood a month before I start building.
Cedar or redwood would work fairly well depending on the span of the table. You may have to put some kind of skirt or supports under the table top to prevent it from sagging in the middle. Cypress would also be a good choice.
I would recommend not putting breadboard ends on the top. A picnic table is going to experience a lot more wood movement problems than an interior table. The center of the top will either expand out past the breadboard ends or in time will shrink to the point you will have to trim the breadboard ends to match the table.