The Painted Monasteries are in the southern Bucovina, in northern Romania. Most of them have been nominated World Heritage site by the UNESCO. They are all in very isolated places surrounded by farms and a nice countryside. If you see a map, most of them will be located next to a town with the same name, but this doesn't always happen. The truth is that several houses were built next to the road leading to these monasteries, but they are all farms and these "towns" have no center, no public transport, so I would hardly call them towns. They are all very beautiful but very small so, if you just want to see the monasteries, it's not worth spending more than one hour in each place. A good choice would be renting a car to wonder around easily: in 1 or 2 days you will be able to enjoy every place properly. On the other hand, if you want to take your time and walk around enjoying the beautiful Romanian countryside, then you might consider spending more time there. Finding a place to sleep will not be a problem: lots of houses rent a room to tourists and, if you go to Gura Humorului or Suceava you can find good quality hotels for very reasonable prices. Getting inside the Monasteries will cost you 4 lei; if you want to take pictures you are supposed to pay an extra fee.
The closest bigger city is Suceava. There would be a bus connecting the Monastery to the city, but it passes only twice a day, in the early morning (about 7:30) and late evening (about 9 pm). It is better to use the taxi; tell the driver to use the taximetru set to 1.5 lei/Km (the standard price there to go outside the city). In Suceava, you find taxis in the center; ask them to leave you their number and, if you are in the Monastery, you can ask the nouns to call it again for the way back. The monastery is very beautiful, even if it is not painted outside like the others. If you want you can remain to sleep at the monastery. They will give you a room in a small building next to the monastery; it will cost you 50 RON/night for a double room with private toilet. You can go to eat inside the monastery, they will offer you this choice if you decide to sleep there. You haven't got so many chances because there is no other place to eat around, but it's worth trying: the breakfast is 15 RON/person and the meal 20 RON/person, but most of what you'll eat is made with the local products by the nouns.
It is 6 Km away from Gura Humorului. You could consider going there walking from there, it will take about 1 hour and half, but it is not really worth it because the view is not very nice. There is a maxitaxi leaving from the Best Western hotel to Humor and back very often, and it will cost you only 1 leu.
There is no public transport going to Voronet, so you have to take a taxi, rent a car or go around with a planned trip. A possibility to be considered is to go walking from Gura Humorului: the landscape is very nice and the street is about 4 km, so it will take about 1 hour to get there.