An example of a series push-pull 6AS7 working into 72\$\Omega\$, along with how to construct a 72\$\Omega\$ speaker: https://www.tubecad.com/2010/12/blog0195.htm
Oy, the TubeCAD guy.
Don't get me wrong: the guy is definitely a tube-amplifier guru, knows his stuff. But my god, the gyrations and permutations he pretzels us through in his endless dissertations on almost exclusively triode-based amps. Especially his obsession with "SRPP" ...
One question: why doesn't he just use a symmetrical push-pull cathode-follower output stage? Wouldn't that have a low enough impedance to drive a speaker (8-ish ohms) directly, rather than that weird, what is it, cascode? stage he has there, with its 72 ohm output impedance? (Analogous to an emitter-follower PP output stage.)
Anyhow, OP: my suggestion, take it or leave it: forget about tubes, at least for now.
Yeah, yeah, I know: they're fascinating, fun to work with (so long as you observe reasonable safety precautions). But a solid-state first project would be a hell of a lot simpler for you. Especially when it comes just to obtaining parts, like power and output transformers, tube sockets, etc.
Once you've got that down you might attempt a 2 or 3-tube amp. (But please, please, do
not attempt to use "an old radio", as you'll be dealing with a "hot chassis", which is dangerous; don't ask me how I know that!)