I have two of the basketball net type and two of the strap type plus every carboy I have has the handle on it. The handle is for cleaning it and moving it around empty. The basketball net type is my go to carrier. The strap type can be a little awkward to get centered. The way the straps usually are laid out the crosspoint on the bottom shifts with the straps. It's like when you try to tie a string around a ball where you go around the ball and then the two ends meet so you cross them abd go back around. It'll seat itself once picked up but I don't like that you might be able to pass the carboy between the straps, much like the ball might pop out. If centered properly, the horizontal strap prevents that. Always put either carrier on before filling. This prevents having to lift it full with the handle, prevents having to wrestle it into the carrier while full, and when the carrier is on, the bottom is better protected against hard knocks to the floor.
The strap type has a pro in that if you are using temperature control, a heating mat easily slips between the straps and carboy. The net type is ok there but when it flops it tends to be more of a ball shape and it doesn't hold as closely to the walls of the carboy. You can use a carabiner, string, or some other method to squeeze the handles or the top of the net together.
If you buy a carboy drying stand, be aware that the handle will interfere with the blue type of stands, the ring type works just fine.
Good form when picking them up too, keep your back straight. It's a bit of waddle either type. Harbor Freight has an interesing selection of furniture moving devices. A dolly of some sort might be useful. Another option is there are wheeled garbage can bases, check out Amazon for that.