After reading all, I believe a7ii is a better choice, and I will go for it if the decision is made. But now it seems the concern is on the adapter. Will LA-EA4 be the correct one, or should I get other model, to use with my 2 lenses?
The original A7 is an excellent camera, but the A7II IBIS is worth the extra cost... then again, so is the A7RII with its higher resolution sensor, silent shutter, and 4K video. Choices.... ;-) They're all capable of delivering better images than an A77, and (even including an LA-EA4) they're all substantially cheaper than an A99II.
As for the LA-EA4 vs. LA-EA3, the LA-EA4 supports screw drive and the LA-EA3 doesn't. This is a HUGE deal. Why? Take a look at
Dyxum . There are hundreds of old A-Mount lenses available for cheap because A-mount is nowhere near as popular as when Minolta introduced it. Many of these are great lenses... but
nearly every one is screw driven. For example, you might enjoy a beercan -- 70-210mm f/4 -- that you can easily get for under $100.
It is true that the LA-EA3 uses the on-sensor focus detector, so on some later Sony bodies it can AF better, and quieter, using lenses with built-in motors than the LA-EA4 can deliver with screw-driven lenses. However, there are very few A-mount lenses that aren't screw driven, and the LA-EA4 works fine with all of them too, and on any Sony E body -- including working fine with A-mount lenses that have a focus motor built-in.
It would be nice if Sony made an LA-EA3.5 -- with screw-drive support like an LA-EA4, but exclusively using the main sensor for AF like and LA-EA3 -- but they don't. Until they do, the LA-EA4 is the better deal.
BTW, I own LA-EA1/2/3/4 and the LA-EA4 is pretty much all I use. In fact, I have only a few native autofocus lenses for my Sony E bodies (other than the kit zooms they came with) and instead happily use a fleet of old A-mount lenses on the LA-EA4 for autofocus. Ok, I also have a Techart Pro LM-EA7 which can autofocus (using the main sensor) completely manual lenses adapted to M mount and works for nearly all of my 200+ old lenses, but the LA-EA4 + old A-mount lens combo is more reliable by far; it always works.