Oh man,nice cans!With those cans an all Solid State,Class A amp will sound excellent BUT if you get the bug & add other headphones, a Hybrid like the xDuoo will allow you to tailor the sound to the headphone with simple tube rolling..For instance a headphone like my HiFiMan Ananda Nano can have a strident,brittle sounding treble with some solid state amps & LOVES a warm tube or HIGH biased Class A Solid State amp,where as something like your LCD-2C’s or my iBasso SR-1’s can sound too syrupy & have flabby bass with too much tube sound...With a hybrid design,a pair of NOS Mullards or new production Genelex Gold Lions would have the warmth wanted for the Nano's & new production Electro Harmonix a brighter sound for the SR-1's or LCD's...
If you really want to explore headphones I suggest head-fi.org...