Having a Nighthawk makes this easy. Call Dave Thompson, chat him up about what tubes he recommends. The guy is some kind of tube genius.
As far as system upgrades, the key is to understand it is in fact a system. Things such as the springs a component is on, the wires that connect them together and the room they are all in are every bit as important as the components themselves.
This is a hard one to get. A lot of audiophiles still don't get it. Put your Nighthawk on Nobsound springs, or even better Townshend Pods, I bet you get it then. Put a QSA Violet or SR Purple fuse in it.
Then you will see. By the time you have done this a few times you will have learned so much by experience you won't even need to come asking what to do next. Congratulations in advance.