Sony really wants to use your A-mount lenses with an E-mount camera and they even announced a brand new adapter for that purpose. Check pricing and availability at Adorama and B&H. From the press release:
Today, Sony announced the new LA-EA5, a 35mm Full-frame A-mount lens adaptor that allows users to easily pair advanced E-mount camera bodies with A-mount lenses.
Using the new LA-EA5 A-mount adaptor, users can now access the acclaimed autofocus and high-speed shooting capabilities found in Sony’s latest E-mount camera bodies with A-mount SSM (Super Sonic wave Motor) and SAM (Smooth Autofocus Motor) lenses, as well as A-mount lenses that do not have internal focus motors.
When used with the Alpha 7R IV or Alpha 6600, high-speed continuous shooting with AF/AE tracking[iv] at up to 11 fps is possible with SSM/SAM lenses and lenses that do not have internal focus motors, such as the Sonnar T* 135mm F1.8 ZA and Planar T* 85mm F1.4 ZA. Full support is provided for focal plane phase-detection AF[vi], wide-area focal phase-detection AF coverage, Real-time Eye AF for both humans and animals, Real-time Tracking and AF/AE (auto exposure) tracking.
The LA-EA5 combines a compact design, featuring an aperture drive unit and a newly developed compact AF drive unit. To ensure comfortable operation when used on an E-mount camera body, the new adaptor’s diameter matches that of the A-mount, perfectly aligning with the edges of the mount. The LA-EA5 allows easy operation on full-frame E-mount bodies, even when a vertical grip is attached to the camera body.