"...how much improvement should I expect?"
"Improvement" is probably not the right word. What you can be sure of is that a solid state amp will sound "different" than your current amp. Whether or not that will be an improvement is a matter of personal taste. SS amps typically have better control of the bass, but behave differently when they clip (which is one of the reasons for the trend toward high power in SS amps.) Or, you may find you miss that rich "tube sound" that so many tube aficionados love.
In short, pick a likely SS candidate that is available for a home trial and can be returned if you don't care for it and see what you think.