Well join tkd or kata keep ned to buy Ji -(uniforms 1 set)
optional to buy shoes. Every grading u ned to change belt But Tkd u
ned to buy tape coz got in between colour like eg. white to
white+yellow tape then yellow belt. 2 lvl change 1 color belt
But for tkd u ned to buy guard hand guard or shin guard during
sparing / tournament.
Prepare abt $250++ roughly if e price nvr increase...
As for wat kinda martial arts depends on ur interest really... A
good fighter any kind of martials also will excel...
Then looks at ur physical.... Do you like violent or more
mental... tkd kata muay thai boxing consider quite challengin n
high injury rate...
Wushu i can say in e middle but train u to b very
flexible.....
My own preference will b wing chun.... sad to say in sg hard to
find gd wing chun sch..
Then mental will b like tai ji quan....
-injuries sure will have kata / wingchun more of hand bruises
tkd muay thai leg bruises... All r great u jus ned to look up on it
n see wat u like...
Good luck in finding a gd martial art sch...
Cheers 
Ouch teakwondo and karate is very expensive.
I really prefer hands on or voilent type , breaking stuff.
And eskrima philippine martial art
i can say im consider tall 1.75..
Too bad im poor.... no chance of learning any martial art
for now