Speaker upgrade question.


Hi all, 
I haven't been here for quite a while as I've been happy with my KEF Reference Three-Twos driven by a Musical Fidelity A308. They're both vintage but they sound great together and fit my somewhat weird room. I'm pondering spending some bucks in the 3-6K range for new (used) speakers and I have a few questions. Thanks ahead of time for anyone who's not too busy to help.
First, would I be  upgrading beyond what my amp is capable of keeping up with? The MF is fairly powerful, but I'm not sure of its limitations since they don't show up in my current system.
Secondly, how high up the price ladder would I need to go before I'd find speakers that offer an obvious improvement over my KEFs to most ears. There would be little point to pony up money for a comparable sound, however much I subjectively prefer subtle differences.
Finally, for reference purposes, can anyone tell me how the following modern speakers might compare or contrast with mine? (Some aren't in my price range, I know) Triton 1R, Kef R7, comparably priced Monitor, Revel, Gato, Paradigm, etc. I wouldn't mind a bit more punch and a bit more bass than I have now, mostly just to experience a different sound - I respect the KEF signature sound.
I know that sometimes it's hard to accept the premises of these types of questions since such matters are so subjective and a lot of folks like to lobby for their favorite brands. I guess I'm not seeking advice about what to buy. I just want to understand the benefit to me of more modern speakers. It's quite possible it makes no sense for me to upgrade.
Thanks again.
Marc
128x128m669326
Your DAC isn't that bad if all you're doing is streaming Deezer from a laptop. If you decide to go the streamer route and try Tidal Hi fidelity or Qobuz hi fidelity you might want a better one. 
Deezer has hi-fi too. My understanding is that it’s comparable to the others?
Deezer premium is CD 16/44.1 Qobuz has some albums in 24/192 . Tidal uses MQA which is suppose to be 24/192 I believe. I use Qobuz, Deezer has more tracks so like most things it's 6 one way half a dozen the other whether anything over redhook CD is better I have no idea. I believe the DAC you have will do 24/192. There are a lot of DACs out there and some are priced fairly cheap but perform really well and others are priced out of this world. To me once you hit a certain SINAD once the noise and distortion is lower than the music it's hard to tell DACs apart no matter the price. 
That's a healthy DAC/streamer budget. Maybe checkout Auralic products. There are retailers that sell them and have return policies.