Kaunas is a city in Lithuania.
When coming from Poland (or actually everywhere), ask your driver to let you out at the "Mega" supermarket next to the motorway in the north of town. There are buses from the bus stop: 1) 38 which goes to the bus/railway station and 2) 21 which goes to the old town (to Kaunas castle (Kauno pilis)).
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http://www.marsrutai.lt/ - the best tool to go from one place (A) to another (B). You can enter an address or a bus stop, also you can choose time when you want to leave or arrive. Above this is 'Tvarkaraščiai' - schedules of trolleybuses, buses and minibuses, and disstrict's buses and minibuses.
http://www.maps.lt/ - this is useful when you look for a bus stop. Enter an adress and you can see all bus stops around. Also, this is very useful to look where exactly is the right house with it's number.
East towards Vilnius
When going to Vilnius the best way is to take buses 10, 16 or 28 and get out at the bus stop 'Parduotuvė'. Cross the street, there's a path to the motorway where is a bus stop. Another way is to take bus 37 or trolleybuses 7, 10, 15 or 16, get out at the bus stop 'Kauno saulėtekis'.Then cross the park, street and you'll reach Partizanų street and see the same bus stop called 'Parduotuvė'.
South towards Marijampolė & Poland
The best way to get to Poland is to take mini bus 105 from the train station and to get off right after Garliava when you will see a petrol station. You can either hitch from the entrance road to the petrol station, or on the exit road from the petrol station. Hitching from the entrance road: place for vehicles to stop by the bus-stop in front of the station, or on the entrance road itself (or turning into the station). Hitching on the exit road (as shown in the photo): there is room for a truck to stop, but usually by the time they see you, they are going quite fast. This is not a busy petrol station but you can also catch the slow moving station traffic, most of which, unfortunately, is only going to Marijampole - be brave and turn these lifts down and hold out for one going directly to Poland if that is your destination. If you've ever tried to hitch from Marijampole or its bypass, you will understand perfectly. You might want to have a PL sign handy. You can ask your driver to let you off right at border. If you walk back towards Lithuania from the border and make a left, you will get to a very large parking where loads of trucks are parked there. You may be able to get a ride to close to any country in Western Europe.
There's another option: take a bus 6 (on weekdays) or 6A (on weekend) and get out at the stop 'Garliavos vidurinė mokykla'. Then go to the opposite side than the bus went and go for like 2 km until you pass a big roundabout and reach a petrolum station. After it you'll find a good spot where you can start to hitchhike.
- Alternatively get a bus from the center to IX Fortas (I think its bus 23 or 35 buses), this is the main road where the motorway to Vilnius joins up with the E67 (Via Baltica north and south) - with a PL sign you should easily get a lift from a truck to the Budzisko-Kalvarija border checkpoint or further. Be aware that the border is now virtually non-existent, except for an occasional random check, so try to get a ride to at least Suwalki or Augustow.
The best option to reach Klaipeda is to take buses 38 or 21 and get out at the last bus stop next to the MEGA mall in the north part of the city. When you get out of the bus, go straight along the highway (in the direction Klaipeda/Riga). After you pass the mall parking and cross some side roads, climb up the hill a bit and you will find a bus stop right at the highway. It's relatively easy to get a ride from there.
Another possibility is to take buses 23 or 35 and get out at the stop '9-ojo forto muziejus'. There's a motorway if you walk a little bit back and a bus stop where you can hitchhike.
Also, when you arrive at MEGA, you can go directly on motorway and start hitchhiking, going towards Klaipėda, and you'll pass under the bridge, where you can hide from rain or intensive sun.
- Heading for Latvia you want to get on the Klaipeda road (the A1) and then turn onto the Via Baltica (the A8). You can accept rides going to where the roads split (20 km) and then hitch past that point. From there it should not take you more than 10 minutes to get a ride. Whatever you do, try not to get dropped off on the Panevėžys ring. Garthelgard got stuck there for more than 4 hours.
There is a great petrol station a few hundred meters north from the northern junction of the Panevėžys ring and a lot of space on the side of the road.
Take the bus 29 and get out at the bus stop 'Biruliškės'. It's a great spot to hitchhike! Also, sometimes there's lots of cars on the road next to nursey garden so it's hard to catch a car. Then is better option to get out at the further stop 'Narėpai' and walk a little towards petrolum station.
Vegetarian canteen and ayurvedic shop "Samosa" (E.Ožeškienės 5). Krishnaist's food: meal of the day (soup or vegetable stew, salad or rice, bread, a drink) costs 6 Lt for students and 12 Lt for others. Only one size portion (which is huge!) and also if you ask nicely you can get another one for free ;)