I would second Grasshopper's suggestion regarding the LiPo's. I have made this move recently for my PT boat when the 9.6v pack I had died on me. I couldn't replace it for less than NZ$70 and they were very hard to find, but LiPo's are everywhere - I got two 11.1v 2200mAh for NZ$30 each. I think one of the reasons that LiPos have had a bad reputation is due to the chemistry in early examples and how physical damage can compromise their integrity. The other thing is that LiPos can discharge at very high rates continuously and in the case of a short that can mean a heck of a lot of current in a very short time - which we should protect against.
In order to make the change I got a new charger (Turnigy Accucel 6), 2 LiPo's (Turnigy 3S1P 11.1v 2200mAh) and a charge bag. I charge the batteries in the charge bag as it is fireproof (supposedly!). The Accucel 6 seems to be a good charger, but is limited to 50 watts maximum, so larger voltage or capacity battery packs cannot be charged at their C rating. It does, however, have all the balance ports built in - up to 6 cells. I cannot recommend enough that, if you choose LiPo, you get a charger that will balance the LiPo pack as it is charged - this will prolong the life of the pack and your run times. I charge my 2200's at 2200 - they do not even get warm - not even slightly. I recently purchased a voltage monitoring doodad too - my biggest worry about these things is over-discharging them and causing damage that way.
One key thing, IMHO, is to be physically careful with LiPos - do not overdischarge (get a battery monitor that buzzes and flashes when the voltage drops below 3v/cell) and inspect after each use. Do not drop, hit, bend or deform them in anyway. If there are signs of physical deformity then do not use them again. Treat them well and they will reward you.
As for changing connectors and motors, you will likely need some sort of connector converter for the battery to the ESC (or change the connectors on the ESC), but if you are talking about the difference in current draw between a 9.6v and an 11.1v battery, well, I wouldn't have thought it would be significant, and I would not think that as a result you would need to change connectors - assuming that they are appropriately sized anyway. Take the usual precautions with fuses in all the right places and you should be fine. I did not change either the ESC or the motor in my PT boat.
One advantage that you will get from the LiPo's is the ability to buy packs that are built in parallel - I better explain that a bit. My packs, as mentioned, are 3S1P which is three cells of 3.7V each linked in series. A 3S2P is a total of 6 cells, arranged with two lots of three cells in series and then each series packs are then linked in parallel - which gives the same total voltage, but doubles the capacity or C rating, and all in one nicely wrapped bundle.
As usual I have typed out an essay when probably a few words would have sufficed...