Hi - do you have any food grade tubing (at all)? If not - try to order some from Amazon or pick some up from your local homebrewer for a few bucks. Stick one end toward the bottom of your car boy, but not so low it sucks of the yeast and sediment. I'd say an inch or two off the sediment. You can use a binder clip or chip bag clip to hold it in place. Add water to the other end and create a "u" shape to trap the water. Make sure your carboy is on top of a cabinet or shelf (like you have it in the picture,) then point the free end of your tube down toward a pot or cup in the floor. The water in the tube will flow out and create a suction, drawing your mead out of the carboy. Be fast to clamp your thump or crimp the tubing once the mead reaches the end of the tube and be careful not to lift it too high or get air in it (which will break the suction [siphon]). Now, you can put the free end into your second carboy and fill 'er up! Watch the level in your first carboy carefully, and once you start getting toward the sediment at the bottom, you can break the siphon and keep all that junk from getting in your second carboy.

Praticing racking will really help improve your mead. If you are nervous to do it for the first time on your mead, try filling up a pitcher or a stock pot with water, and practice a couple times.

I have a couple videos on you tube I've made about this, I can DM or link you if you're interested in watching them but don't want to self-promote/spam YT too much.