Switch to Powertech Pyro. They only need 4 keybinds.
Kinda sad that this isn't even a joke.
I have a Naga (from my WoW times, I don't have any binds on it), it's really nice to have those additional binds. But in SWTOR you don't really need them.
Keys I use are 1-6, Q, E, R, T, F, G, V, S with Shift (everything) and Ctrl (just 1-6) as modifiers.
(W, A, D for moving and the mouse for turning)