If both aircraft are in the cruise, then I'll look to vector, if it's going to be a huge dog leg then I'll find out what level you get on the Ocean should you be heading west. That's usually a good get-out, failing that a direct routing to your OEP can sometimes help me out if Shannon are willing, and being generally all-round nice people, they usually are.
Stuff through my sector going Eastbound is usually coming to the end of its flight and as such can usually be persuaded to go up a level or two and coming down a level or two isn't a huge issue either
If one is in the cruise and the other is climbing out, then it's obviously easier to go level safe instead.
The above all depends on my workload at the time, if I'm going balls-out then I'm not going to faff around with vectors unless I absolutely have to, when going for different levels would make my life a whole lot easier