What kind of things would you like to do with the brawler? What are your partymates playing? What kinds of things are you expected to be able to do, if anything?
We can't help if we're not given a direction that you'd like to work towards.
But so far I will say that Bleeding Strike is a crappy feat. Bleeds themselves tend to be more and on-crit effects also stink.
Did you mean
Bleeding Attack instead? Still not a good feat. The bleed effect, as worded, only happens once per round at most unless there is more than one different bleed effect. The bleeding from the unarmed strikes will not stack so you'll only be doing 1d4 extra damage per round regardless of how many attacks you have, and only against things that are vulnerable to bleeds in the first place. If you're facing against undead then it'll be useless for example.