from what i've read that question doesn't go down too well on this forum... "trading and broking" are quite different roles so you'd probably need to decide exactly which way you wanted to go before you started looking at the different roles out there.
look on efinancialcareers for prop trading roles - there seems to be alot going up there at the moment (Mako, Towler, Tower...) or send some speculative cvs out (i think theres a list of prop trading firms somewhere on this site). Whether you'll get any kind of response depends completely on the strength of your cv - good A Levels, degree & more importantly some kind of trading record even if it is only on a simulator.
The same thing probably applies to hegde fund trading roles - you need excellent academics and normally some kind of experience so for the most part its pretty impossible to get in.
Again with "broking" you need to be a bit more specific in what you are going to be "broking" - you could try searching for commodities houses in google for example & sending them your CV. Most of the big IDBs like ICAP have proper recruitment stages & you've most likely missed out on them already. There are however hundreds of stockbroking jobs out there for ****ty houses selling AIM stocks - if you don;t mind cold calling 100+ clients a day to tell them about the service you are offering you might do well. You should consider though, that you'll be on a **** basic, you'll spend the first 6-12 months opening accounts for the senior brokers & therefore not ever making the good commission & thirdly that you'll be targeting middle aged family people trying to persuade them to invest some of their savings and retirement fund into high risk shares that your senior brokers probably have shares in themselves.