It's best to think ahead and get a tube amp designed to work with both speakers and headphones, in my case, I bought a Woo Audio 5SE. I mainly bought the amp since it had the power output to handle any headphone out there, but I did buy a modest set of speakers for $1500 back then in 2010 (Klipsch Heresy IIIs) and Wow! The Heresy IIIs had just come out and now that the dust has cleared, they are now considered terrific-sounding speakers regardless of price and have garnered a cult following. You need high efficiency speakers with the 10 watts output of the amp, which is one reason I went with the Heresy IIIs.
The problem with combination speaker/headphone amps is the switching mechanism going from one to the other, which purists feel degrades sound quality. Woo Audio built this large, unwieldy switch on the WA5SE to minimize this problem. There's a lot of effort and balkiness when you turn the switch, but the design does seem to work.
That being said, I prefer to run the Klipsch speakers with my WA5SE but due to my present living conditions, I have to go with headphones. At least I upgraded to Focal Utopia headphones two months ago to help things out
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With an amp like mine, the tubes help out a lot. IMO, the best driver tubes out there are Tungsol round plates, and I run them with Takatsuki 300Bs and Takatsuki 274Bs. I had inferior tubes when I was running the speakers from 2008-2013 or so, so I can't imagine how good the speakers would sound now . . .