Err, true. Level shifting is a fine tactic, but there's no way you can level shift beyond what you can feed your opamps with. One way of doing it would be to have a +-6V PSU, plus use a step-up regulator to get the 10-12V needed for the opamps positive supply.
Or, no inductor dirty tricks, no switchers, just make a proper +-12V or +-15V PSU and feed your final stage opamps that. You can get away with something very close to -5V to +10V PSU if you use rail-to-rail amplifiers. But, that means accepting another constraint versus the same complexity for the bi-polar PSU.
Confused yet? There is a third choice: +12V unipolar DC supply, plus a LT1054 inverter feeding a7905. The positive power is already present, but it can be stabilized using a standard 7810. This can feed a R2R amp -5V to +10V from a normal wall wart. However,the 1054 costs approx 3.50-4.50Eur or about 3.70Usd, depending on where you buy it...
Cheers