Though if you only want to compete in BJJ, I suggest you attend more grappling than striking classes to up your tournament game.
Rather than answer, since there are plenty of good answers already, I just want to give you a tip to help you keep from getting overloaded training in different gyms: Keep a notebook. Write down everything you go over in class and then refer back to it later and visualize yourself doing the techniques some more before you go to sleep. This helps to keep it all fresh in your mind and minimize technique overload.
Thanks for the Advise it actually makes a lot of sense; my strengths probably lie in Muay Thai which I trained for 4 years under Master Sken, but I would say I enjoy bjj more, my thought behind it is that bbj can be the sport and the striking can come in handy in the streets if I ever do need it, I am actually jumping between decisions on the striking - Thai is my preference but I'm also looking at Systema and Keysi at the minute
I think I finally decided that my training split I think will be -
BJJ mon & tues