Respectfully I somewhat agree with dwallen.
However I have a feeling that your going to move forward so.....
Use a good soldering iron/station with a big flat tip and crank up the heat. (I can't remember what the max temp is on the solder station I use when doing batteries, but I go to the max)
Then its just quick heat to get the solder liquid while giving some pressure to pull the pcb off the tabs, you just want to be careful with the heat.
It may be easier to cut up the pcb so your only dealing with individual tabs. I don't typically reuse the pcb anyway, I usually fold up the ends to make the pack a little smaller. But if you don't need the room then it isn't necessary.
Once you get the pcb off you will likely want to separate the cells from each other if they are stuck together so the tabs oriented the same. Rolling a toothpick or pulling some dental floss between the cells are the two best ways that I have heard to easily separate the cells.
Like dr g stated...If the tabs aren't marked you can test with a meter, if the voltage reading is negative then the tabs are the opposite of how you have the meter leads.
Then its just a matter of soldering the tabs together and wire.
Bap, thanks for taking the time to post something that is actually meaningful, useful, and helpful. I've read a lot of what you've posted on here and you've helped quite a bit.
After reading what I posted again, I can see how it may appear that I have no idea what I'm doing... but I promise, thats not the case : ) I was on my phone, so I had to be brief. I was more looking for some quick suggestions or tips if they existed rather than a step-by-step how-to or guide to desoldering, repurposing, polarity, etc...
LiPoly 3.7v 2400mah 20C pack should make for a nice power source for my new DNA20 box : D