All bluetooth GPS units have their own battery. Many have a removable battery, so you can carry a spare if you want. I am not sure if the CF GPS or bluetooth on the X50v/X51v pulls more power. One thing I would look for a bluetooth GPS that has a 5 volt input. The BT-338 does. Go to
http://store.yahoo.com/semsons-inc/pdabatexpocp.html and look at the battery extender. They say they do not work on the X50, but it works fine on mine as long as I use NiMh rechargable batteries. I saw it on a thread here on aximsite. The good news is it charges both my BT GPS receiver and my X50v.
I take my X50v with the extended battery installed, BT GPS, battery extender, and a Y cable that will let me charge both units from the extender in my AquaPac normally. Sometimes I will put the BT GPS in a sandwich bag in the case that comes with it and put in on my belt though. I also carry at least one spare set of batteries for the battery extender, a small screwdrive to change the batteries in the extender and my normal X50v battery.
I have never ran out of power yet, but I do not leave the X50v on all the time. I normally leave in the morning and come back in the afternoon, so the longest I have been out is about 14 hours. I also keep the chargers for both the X50v and the GPS in my Van. It is a conversion van, so it has an inverter. I charge them when I get back to camp, so I have a full charge the next morning.
I have been thinking of taking a two or three day canoe trip with my brothers. That might get get me to the point where I run out of power. I have been looking at some solar power chargers to buy when we decide to do that.