while I don’t know anything about how the Eikon sound, their impedance is 300 ohms, so they could possibly benefit from an OTL tube amp like the Bottlehead Crack with Speedball upgrade. another popular amp is the Monolith Liquid Platinum, which is a hybrid tube / ss amp. hybrids were designed to power both low impedance and higher impedance headphones, as you’ll ruin an OTL if you try to run low impedance headphones on it.
all that said, you want to try a tube amp because it gives warmth to your sound. warmth has also been described as making your headphones sound fun. hybrid amps do this as well, but to a lesser extent because of the ss portion…however, the Liquid Platinum mentioned is particularly good at adding warmth despite being ss.
then you have just ss amps and they can be warm, or neutral or what I call cool (to provide a polar opposite comparison to the description of being warm) which means more detailed / analytical.
however, what you use depends on the headphones you have…as some like tubes and some just don’t jive with them, besides the whole impedance concern.
but at the end of the matter…this is a journey and I say walk the path and try things out and find what you like and don’t like and carry on carrying on getting experience and wisdom.
TLDR; you do yourself a disservice if you don’t try tube amps, hybrid amps and solid state amps.