use transfer shield strength. this hands down is the best shield buff you can get as far as bo abilities. and dont wait until your shields are gone to use it. use it as soon as your getting fired at. to make it even more effective use it with emergency power to shileds. this should give your shields at least an easy 50% bonus damage resistance and whatever damage does get through the transfer shield strength will just keep rengenerating your shileds. also make sure you distribute your shield power frequently.
Science has both Transfer Shield Strength and Science Team that can be used to buff shields. You'll also always have between 1 and 3 engineering BO skills (depending on level and ship type) that you can also use to take the various Emergency Power to Shields abilities.