Can I just tuck the wires in the battery holder while the original battery is still in it?
I dont know about that. I guess you could, but what if the wire came out and touched something it shouldnt?
If you really want to move the battery off board, I think removing the watch battery and soldering the wires to the tabs would be the best.
You could also use 4 battery holders (or two pairs), each pair wired in series to give you 3 volts, then the two pairs wired in parallel.
That way if you change the batteries in pairs, like pair 1 in six months then pair two in the next six months, the CMOS will have power during the battery changes, so you wont loose cmos info during the change.