I have a serious love hate relationship with weighted burpees.
I do weighted burpees (either with my weight vest or holding dumbbells) unless I'm doing them as part of a circuit. If I'm doing a circuit thing for conditioning I'll sometimes skip the weight.
My goal is always max height on my jump. It makes a huge difference (IMO) on the difficulty of the exercise of you're actually trying to jump as high as you can every time.
Burpees are awesome and if you have a high pullup bar then burpee pull ups are a good variation. Unfortunately I don't have that. I only have to jump like 8 inches to grab the pull up bar and that's lame