If you're talking about the standard Joye 510 batts, they are smaller and shorter lasting than the 808s, 180 mAh vs. 280 mAh. If it's down to these two, perhaps because you like the cig look, then 808 is better. I would advice manual/button batts, no juice leaking in danger.
Do you each smoke PAD? If you do, I think you need bigger batts than either the standard 808 or 510, which gives you 1-2 hours of vaping before you must charge them. The batt charging marathon gets old. I have both these kits but mostly use Rivas (eGo clones), bigger, cigar sized batts that last 6 hours each (you can get bigger). I can still use the smaller batts when I go out, for looks, but I'd bring my PCC.
Edit: small batts = don't last, longer lasting = bigger batt, tech limitation. Bigger batts come in both 808 or 510 connections as others offered.