First, the honest paragraph: Ukraine is a country at war, and whether you should go depends on the situation when you read this, your government's advice, and your own judgment. Check current advisories, know where the shelters are, download the air-raid alert app, and respect curfews. What we can tell you is what travellers who do go keep finding: a rail network that runs with almost defiant punctuality, cities full of life, and people who notice that you came.
Kyiv
The capital spreads along high wooded bluffs above the Dnipro, gold domes flashing through the trees. Give it three days. Walk from St Sophia's Cathedral — eleventh century, UNESCO-listed, astonishing mosaics — down Andriyivskyy Descent, the cobbled artists' street, to the river district of Podil, which is where the cafes, bars and cheap hostels (dorms 8-12 EUR) cluster. Ride the absurdly deep metro: Arsenalna station sits over 100 metres down, and a token costs pennies. The Lavra cave monastery complex rewards a slow half day. Around Maidan and on many facades you will see memorials to the war's dead; take those moments seriously, photograph respectfully or not at all.
Eat well and cheaply: varenyky dumplings with sour cherry, borshch that will ruin all other borshch for you, and a third-wave coffee scene that genuinely rivals Berlin at a third of the price.
The night train west
Ukrzaliznytsia's Kyiv-Lviv Intercity does it in about five hours, but take the night train instead: a kupe berth costs roughly 10-15 EUR, linen included, tea in a glass with a metal holder brought by the carriage attendant. You fall asleep to the flat black country rolling past and wake up in Galicia. Book on the UZ app a couple of weeks out — trains fill.
Lviv
Lviv is Habsburg Central Europe with the volume turned up: a UNESCO old town of Renaissance merchant houses, chocolate workshops, and more coffee ritual per square metre than Vienna. Climb the High Castle hill for the roofscape, tour the Lychakiv cemetery's sculpture-crowded avenues, and spend an evening working through the city's eccentric themed restaurants and craft beer cellars — dinner and drinks rarely passes 15 EUR. The city has absorbed hundreds of thousands of displaced Ukrainians, and its cultural life has, if anything, intensified; check listings, because there will be a concert, a poetry night, a jazz cellar going regardless.
Into the Carpathians
A morning train through Ivano-Frankivsk — worth a stroll between connections for its pastel Austrian-era centre — winds up the Prut valley to Yaremche, the Carpathians' backpacker base. The mountains here are old, rounded and green, wooded to the shoulders, meadowed on top, dotted with the wooden churches and smallholdings of the Hutsul highlanders. Guesthouses with breakfast run 15-25 EUR; the smell of woodsmoke and pine is included.
The classic objective is Hoverla, at 2,061 metres Ukraine's highest point, usually walked from the Zaroslyak base up a steep, straightforward trail — four to six hours round trip, a national-park entry fee of a few euros, and a summit ringed with flags and quiet emotion; you will understand when you are up there. Gentler days: the Dovbush cliffs trail from Yaremche itself, waterfalls on the Prut, and the market by the Yaremche falls selling wool socks, mushrooms and banosh — Hutsul polenta cooked in cream with sheep's cheese and pork crackling, the correct post-hike meal.
Practicalities
Summer (June-September) is hiking season; late September sets the beech forests on fire with colour. Winter brings cheap skiing around Bukovel. Cards work nearly everywhere, English less so outside Kyiv and Lviv — learn Cyrillic basics and a dozen Ukrainian phrases, which are received warmly. Most travellers enter overland from Poland: Przemysl to Lviv is about two hours by train. Sleep, spend, and tip like your presence is a small vote for the country's future, because that is exactly how it is read.