Rubbing disc brake

Hi all, I've had a look around youtube and this forum and have tried the fixes that I've found, but still have some annoying rub issues. Maybe you can help? Apologies if this has been covered, but I did spend a bit of time looking - promise!! 
On the rear brake (Avid Elixir 1) of my girlfriend's bike, the pads seem to rub on the disc slightly all the time. I have re-centred the caliper which has given some improvement, but it's still rubbing slightly. I don't think the rotor is bent and it looks to me that the pads aren't retracting away from the disc enough, so I can't see a gap between the pad and rotor.
I've tried removing the caliper from the frame, and taken the pads out and used a plastic tyre lever to press the pistons back into the caliper, thinking maybe they've advanced too much, but when i push one piston in, the other comes out. :? I don't have much experience with hydraulic brakes, so not sure if this is normal? If so, is there a trick/knack to pushing both pistons in at the same time? I tried with two levers, but my efforts were just comical! :oops: I didn't want to stick a screwdriver or anything in there in case I damaged the pistons.
Any help appreciated.

On the rear brake (Avid Elixir 1) of my girlfriend's bike, the pads seem to rub on the disc slightly all the time. I have re-centred the caliper which has given some improvement, but it's still rubbing slightly. I don't think the rotor is bent and it looks to me that the pads aren't retracting away from the disc enough, so I can't see a gap between the pad and rotor.
I've tried removing the caliper from the frame, and taken the pads out and used a plastic tyre lever to press the pistons back into the caliper, thinking maybe they've advanced too much, but when i push one piston in, the other comes out. :? I don't have much experience with hydraulic brakes, so not sure if this is normal? If so, is there a trick/knack to pushing both pistons in at the same time? I tried with two levers, but my efforts were just comical! :oops: I didn't want to stick a screwdriver or anything in there in case I damaged the pistons.
Any help appreciated.
2015 Specialized Tarmac Expert Ultegra
2016 Focus Mares CX Ultegra
2016 Specialized Stumpjumper HT Comp Carbon 29
2012 Boardman Road Race 105
2013 Specialized Hardrock Disc
2016 Focus Mares CX Ultegra
2016 Specialized Stumpjumper HT Comp Carbon 29
2012 Boardman Road Race 105
2013 Specialized Hardrock Disc
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Posts
Centreing Avid calipers can be a PITA as the CPS washers mean it often moves as you tighten the bolt, you need to nip each bolt up in turn a bit more and a bit more until they are tight.
Maringirl - is that what the little torx screw is for on the caliper? Would I have to bleed the system if I did that? I don't have a kit, so I'd like to avoid that if possible.
2016 Focus Mares CX Ultegra
2016 Specialized Stumpjumper HT Comp Carbon 29
2012 Boardman Road Race 105
2013 Specialized Hardrock Disc
Overfilling is caused by bleeding without having the pistons pushed right back.