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
I know dealers are not going to like to hear this, but I went toe the RMAF and heard a pair of SALK Song3 Encore speakers at the show for $6,000 and they sounded better than a pair of $60,000 a few rooms down the hall.  However, they sell direct.  However, because they sell direct they don't need to discount their speakers so the dealers can make all the money.  As a result they can afford to use higher quality drivers and cross overs.  They will simply blow your mind.
I’ll check out the Salks.
For what it’s worth, my DAC uses a burr – brown PCM 1792a chip. Are there any people out there who know the quality of this and how important the chip is versus the rest of the DAC?I’m sure this question actually belongs in another part of the forum, but what the hell. Here we are.
If you want a speaker that will sound pretty good wherever you sit and don't need perfect placement look at Ohm Walsh. They sell direct an have a long trial period. 
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?