As stated by CCP Falcon, fighter-bomber volume will be doubled. Any fighters that are in your drone bay that overload it will cause you problems. This means that you cannot warp or jump while the drone bay is overloaded. Prior to the June 3rd Kronos deployment, you may want to move your drones to your cargohold. Per the post, all drones in your drone bay (if it will become overloaded) will be moved to your cargohold. If for some reason this doesn't happen, you will be stuck in space. You can jettison the drones and scoop them to your cargohold. If you have any other problems with them, put in a ticket under the 'stuck character' category.
I find it is better to be safe, than sorry during a patch/expansion deployment.
On a related note, set long skill queues prior to the deployment in the event that you are not able to log in. Pretty much every update I have an issue where I can't log in to the EVE client. Take these little preemptive actions to avoid issues and as always, fly safe-ish.