U r comparing 3 different genere of cams...A long zoom a compact and a middle of both
If u want a pocketable cam its better to take Sony tx9...it got good reviews
Canon SX130 IS is very good for learning photography, it have excellent pic quality and great zoom....but its big and fat and use alkaline battery...
Sorry donno about fujifilm one..I think its launched recently soo didnt got any reviews too.
Its actually upto you...U want to carry your cam everywthere in pocket and need a stylish small cam then sony TX9 is for you
U can carry a pouch in hand and wanna learn photography beyond auto mode

then get SX130IS