@angelus1969
Welcome to the expat.com forum, and good luck with your potential move to Bulgaria!
As a Dutch (EU) citizen, relocation ("EU Citizen Registration") is very easy, and the Bulgarian health system is good, especially in its public/private integration. (I've only used private hospitals, so far, even though I'm entitled to free or nearly-free public treatment.)
Tyzha is in the general area of our village house. As in, the "Valley of the Roses" and the "Valley of the Thracian Kings"... and next to the Balkan Mountains and not far from the spectacular Central Balkan National Park. Personally, I think it's a wonderful area, and I'm a big fan! I like pretty much anything between Karlovo and Kazanlak. The roads are good to Plovdiv and Stara Zagora and the coast, so you have those to visit too. Getting over the mountains is a bit of a pain, but there are some nice places on the north side.
You'll see that your neighbours are Kalofer and the White River Ecotrail, Pavel Banya (spa town) and the fancy Damascena complex (rose oil factory & museum & events). Karlovo is a lovely town right next to the high peaks, and Kazanlak has a big annual Rose Festival and the UNESCO-listed Thracian Tomb. There are actually loads of popular sites that you can go check out, and lots of good restaurants not far from you.
If you like the outdoors and/or have dogs to walk, this could be a great place for you. I think your village is maybe 1km or so from the National Park, you're even closer than we are! In most countries, being in/near a National Park is a very expensive option, so I think you have to factor in the value of the location when assessing the village/house. Our house is stacked up with mountain bikes, my electric bike, my motorcycle... and I walk/hike pretty much every day. And you can even do water sports at Koprinka.
https://bulgariatravel.org/national-park-central-balkan/
For me, personally, your village is a tad far from the mountains (I'm spoiled, we have trails from our house)... and a bit far (30 km ish) from the big supermarkets (Kaufland, Lidl) in Karlovo or Kazanlak. But the main road is very good, so it's not like it's a huge drive. I wouldn't want to do it every day, but once or twice a week should be no big deal.
I don't know the village that well, but I drive past it often, and I've ridden my motorcycle through it a few times when exploring the back roads. I think there are some nice renovated houses there, and I've seen a couple of decent houses advertised. Usually, Google Maps/Street View is the ideal research tool, but your village only has a 2012 visit, I was surprised. There's more recent imagery for villages along the main road. Even so, for 10 years ago, it looks like a decent village... and if you've already been there, you've looked around and seen for yourself what state the roads/houses are in.
The mountains are definitely popular, and this is a relatively wealthy region. Obviously, closer to Karlovo and Kazanlak is more desirable, but much more expensive. Our village (next to Shipka, also famous) has gotten very expensive... now there are plots for sale for almost what we paid for our house a few years ago. So it's not easy to find a good house for a decent price. We're lucky to have stumbled on the region and our house, it's tip-top, innit.
Similarly, I don't have detailed knowledge of this village's infrastructure... but, as it's a good area, I don't think one needs to worry unduly. Our electricity is good, and only gets cut during large thunderstorms. You can mitigate this with an UPS or add some solar panels/battery backup. I haven't bothered with either, but solar panels are now very cheap so it's on my list. The water is good in the mountains, and you can easily get a borehole dug (my neighbour does lots of deep wells in the region).
Internet is variable, but these villages are surprisingly well-connected. Our house has fibre internet from a local guy for 20 lev per month... I think I have 100 Mbps wifi, which is pretty decent for remote work, especially in the middle of nowhere. :-) You can also go for mobile broadband from the big guys (Telenor/Yettel, A1, Vivacom). I have a little MiFi box with its own SIM as backup.
If you're a fan of remote work, I don't need to sell you. But Bulgaria is an ideal remote worker location - earn some fancy foreign salary, while enjoying cheap-as-chips local costs. I was working IRL in Plovdiv, teaching at 2 schools... travel and dead time hanging around between lessons, expenses of being in town all day, not many hours paid, and pay of 5-6 euros per hour (not average per day, actual per worked hour). Tutoring online is more like 25-35$ per hour, no travel, work when I want.