As a good starting point, get your SII done (Regs, Securities and Derivatives). Should take about a month. You'll need these regardless of what you do if you want to work for an FSA reg. firm. Looks good on your CV, shows you're dedicated, employers don't need to spend time/money getting you qualified and it also takes away the slight possibility that you may fail(rare). Could also be a good decider if 2 candidtaes are pretty much equal, eg you might get hired over someone who only has the Regs certificate.
As for the CFA, I don't think you can do that independantly can you, I think you need a few years experience and a sponser firm? Generally people who take this exam have a couple of years of work experience at Analyst level and are about to move up to Associate. If your firm wants you to take it (which isn't always nessacerry, particulary in trading) then they'll shell out the money, give you paid study leave and sponser you.