Judo VS Taekwondo
Depends on what you want to achieve with it? Fight? Self Defense? Sport?
I will try and lay out some differences before making a recommendation. hope you then can make up your mind:
I did Judo when I was about your age (and just the fall techniques - that become reflexive/automatic after some time have saved me from severe injuries if not from death a few times during my life in not-at-all combat related situations), but you have to understand this is "Sport".
Taekwondo will prepare you better for real fighting in a self defense/attack sense, but I never liked it (only did for half a year or so, so I might simply not have grabbed the essence, hence take this judgement with a grain of salt, plz, I have friends who swear on it for combat).
If you want to go law enforcement or mil, Jui Juitsu is probably your choice, as this really is not about sprots but about effectivity.
As an example, here a JJ versus Kung FU guy in a open rules fight, you can see how in close combat w/o arms Jui Juitsu wins out.
Comparison of two physical fit experts of Jui Juitsu vs. Kung-FU
Personally, my heart (and I am old now for fighting) goes with Aikido (literally translated means "Joint Twisting", not so spectacular but *very* effective) plainly for self defense, especially if you are not up to the same physical shape, age or armamanet of your opponent, or if suffering multiple attacks at the same time.
The trick is to use the opponents force and kinetic energy to defeat him, something that even old farts like myself can still do easily without breaking out in sweat (and the Judo that I did when young helped a lot, both for falls as for throws).
A - lenghty, but the fighting snippets show the essence of Aikido very well - French reportage on one of the great european Aikido fighters (André Cognard), being just 14 you can reach that level with normal daily PT schedule for training in 5 yrs+, though it will be a Life Time to get to the spiritual goal. Check out how the Maitre almost does not move... Amazing!!!
Note in the following comaprative vids who needs more energy, fitenss or whatever, and who wins, I trust if you get good at Aikido you can get along very well with whoever attacks you (it wont help you much in intending to attack someone yourself, though, as there wont be much opponent energy to be to be exploited, probably):
Aikido vs. Jui Juitsu, old vs. young
A Compilation of Karate Snippets vs. Aikido Snippets, you can clearly see the difference: In Aikido, with half energy, you can almost always end up in a "Kill" situation, i.e. where the next fist or elbow blow would definitely end the fight in your favor with the opponent out or havigng a few bones broken
So, my recommendation at your age (and others might disagree): Start out with Judo, and maybe after green belt start with Aikido.
Some more examples of the beauty that I find in Aikido:
Aikido Techniques
Aikido Amateurs Class: Defense Techniques against Knives and Guns