I used to have a system very similar to yours. None of those components are still in my system. So really you can go in any direction.
Now my ML's were CLS and needed a behemoth amp to drive them. i don't know how many watts your ESLs need with their powered woofers. If you can get away wtiht 20 or 30 watts, I love the electrostatic sound.
Assuming that is true, the easiest way for you to make a big change in your sound is with an integrated tube amp. If you must to SS, I highly recomment the Kinki Studios XXXXX+ (I have one but can't remember the initials). Great integrated.
JErry