Congrats! And welcome to the Eufonies Club.
The H5 is wonderful OTL design. Plays far above its price point. Given a diverse diet of driver and output tubes - from only the best vintage electron chefs. So far you have but a tasty appetizer. There's many rich, delicious meal plans available.
Output Transformer Less (OTL) have the advantage of working without costly, big, heavy output transformers. In the golden days of tube amplification, transformer coupling was du rigor. Because they were well understood and could be wound to a very high standard. Output transformerless designs were a rarity, as capacitor technology was limited by technology/manufacturing. A good output transformer was the cheaper alternative to at-the-time expensive caps. With the advent of those dreaded solid sand devices, capacitor development needed to be developed - and was, dramatically.
In the 90s, OTL headphone and speaker amps became mainstream - in the tiny little trickle called the audiophile pool. Today, it is much less costly to build a high quality OTL amp than an output transformer coupled amp (OTC). For example, a good pair of output transformers from Lundahl costs about $900-$1200USD.
The topology of an OTL is different from an OTC. Most OTL designs, like the H5, use low impedance output tubes in a cathode follow circuit, which further reduces the output impedance. Usually those tubes are triodes - created originally for AC regulation duty, such as the 6AS7/6080.
Before jumping into the deep end of the OTL pool - where tube costs are double, but satisfaction is not, suggest you collect and roll some gourmet tubes. Seems you are in the UK, you can begin your search with the exquisite tubes of England from GEC, Marconi, Mullard, Brimar, STC and more. Both for drivers and output tubes.
Good places to shop are:
https://www.langrex.co.uk/ and
https://audiovalves.co.uk
What to shop for? It's a really big list. Why not start with some of my favs from the land of excellent thermionics? Sounds good to me.
Output tubes:
GEC 6AS7 - the most enchanting - and now most expensive 6AS7 ever made.
GEC 6080 - one of my most enjoyable 6080s. The 6080 is eclectically similar to the 6AS7 in straight-sided glass.
Mullard 6080 - almost as tasty as the GEC 6080 - but usually less expensive.
GEC CV4079/A2293 - These are my daily sustenance - more enjoyable to all 6080 to my ears - closer to the mighty GEC 6AS7 than their reasonable cost would imply. The catch is they are single element tubes. Require a pair for that stereo sound that is so popular among two-eared headphone listeners. Adapters are available
such as this one. Custom ones are available too.
Driver tubes:
That 6F8G is the predecessor to the 6SN7. My fav is the Tungsol round plate VT-99 from the 1940s. But it's a crass American offering.
In the British 6SN7 family:
Brimar CV1988 - clear or black glass. Not cheap, but very sweet.
GEC B65 - some claim it's the best 6SN7 ever made... and priced like it + 250%
Mullard's rich, potent answer to the 6SN7:
ECC32 - same pinout as 6SN7, but higher heater current - which the H5 can handle. Available for lower cost as the ECC31 - needs an
adapter to work in the 6SN7 socket.
ECC33 - Mullard's answer to the 6SN7 for computer use. And delightful sonics for 6SN7 audio use.
ECC34 - lower gain than the ECC32, but if found for a lower cost, a great value.
The best 6SN7 isn't a 6SN7 - it's a pair of 6J5s. Or in this case a pair of L63s. Twin 6J5s, tend to offer a more open, wider soundstage with great tonality - at least the ones from Britain. Requires a
dual adapter.
GEC L63 - a great straight-sided tube - at reasonable cost. So far.
GEC/Marconi L63 - glorious tone wrapped in a shapely bottle.
Brimar 6J5G - another shapely beauty with a clean, open balance.
Kiddie's Tubes - or noval. There are so many wonderful options in this playground. Again require an
adapter - to migrate those 9 little pins into 8 manly ones.
Mullard CV4003 - ECC82 with the Mullard Magic.
Brimar ECC82 - long plate version can be sublime
ECC82 is the same gain as the 6SN7 and similar electrically.
The ECC81 is higher gain - much higher, but can be a great way to wake up sleepy output tubes.
Brimar 6060 Yellow T - one of my fav driver tubes. Period. Balanced tonally with wonderfully details and precision. Also available from 70s stock - White T. I prefer the Yellow T from the 60s. Some say the 70s version are just as good.
There's also the RFT ECC81 foil getter that is wonderful... but we're not venturing over to the continent just yet.
Twin Kiddies. A single section (and predecessor to the ECC82).
Adapter required. To fit into your ECC82 to 6SN7 adapter. Don't worry, eventually it will only seem you have as many adapters as tubes.
Mullard M8080 - Like a 6J5 in a toddler jumpsuit - but big boy sonics.
GEC CV133 - The detail king of the little twins.
That's my little menu from old England. Accumulate most of the above tubes and you will be well on your way to tube rolling bliss - and possible financial ruin.
Later we can discuss the big American output tubes - like the legendary Bendix 6080WB with graphite plates - takes at least 30 minutes to get up to operating heat. Then there's the well-loved and over-priced TungSol 5998. The TungSol 7236 is a lower cost alternative.
Enjoy your H5 - and later let's chat about cap rolling. There's even more fun to be had in the H5.