he has the shinigami eyes and would be wary of L before even using the notebook

Exactly, plus he wouldn't restrict himself to just criminals. He would kill just for the fun of it.

Light was way smarter than BB, he defeated L and would have ruled the world if not for Mikami's mistake. BB lost to Naomi Misora the very same woman that Light killed.

Although he would never actually use the death note even if he did find one. to him it wouldn't be killing if he did it like that. he'd think it was the cowards approch

i think he'd like to be there...you know to see his work
I agree with Lostangel

He has the potential to be very dangerous...I mean, he could kill victims in a really nasty way, if you think about it.
He wouldn't do what Light did, he'd purely kill for the fun of it.

he has the eyes and he doesnt just kill criminals

No... Beyond Birthday wouldn't kill using the Death Note; he'd prefer to do it himself. Either that or just use it for fun.

well based on the very little i know yes cus he would kill anyone not just criminals and thats why lights a loser

I imagine so but he'd probably use the Notebook for the fun of it from the beginning.

BB and Light aren't even in the same category. What Light was doing he was doing for the good of the world, BB would just kill for kicks.

Light ruthlessly killed thousands with no end in sight with the desire to rule the world. I never saw that BB was particularly murderous, apart from his 1 plan.

Well Light just kills criminals and people who get in his way~ BB I believe kills just for the joy of killing. Plus he has the shinigami eyes so it would be a lot easier for him to kill than Light~

He could he but it's not his style.
BB wanted to beat L... he wouldn't kill for the fun of it like some people think.
BB is realistic with his plans and unlike Light it isn't in his personality to try to pass it off as justice when he knows fully well how bad what he's doing is... He would kill in a way to beat L but that is all...