Szeged Transportation

Inside Szeged you can take the trolley busses or some tram lines.
Unfortunately it's not great service and I find it overpriced. A single ticket costs 220 Forint, which is around a euro and this is only if you buy it in advance. From the driver it will cost you 270 Forint.
And the worst - if you have to change a bus/trolley/etc - because they don't have a direct line to your destination (which can be very close but still) - you have to use another ticket. I needed to use 2 tickets that made it over 2 euro one way which is very expensive for such a small city with lousy service.
A weekly ticket is also quite steep and the 10-ticket carnet gives you quite a small reduction and costs 1980 Forint.
By the way - they make quite frequent checks, so don't ride 'black'. They'll raid the buses without uniform and display their card. If you fail to show a ticket, you'll have to pay 4800 Forint fine.
Thus - the best: walk. It's a small walkable city.

There is direct train connection going from Budapest Airport Terminal 1 to Szeged, and you can buy train tickets inside the terminal building.
If you arrived to Terminal 2 should take the bus line numbered 200 (which requires a ticket on its own), and get off at Terminal 1 to take the train. Trains are available hourly from 6:12am till 9:12pm (at the airport), originally departing from the Budapest Western Railway Station (22 minutes earlier).

The more comfortable line is the InterCity lines. For this you must purchase a railway ticket and a seat reservation ticket specific to your train, which costs about 3500 Ft.- (~€14 and ~$23). The journey takes around 2 hours.

This is the main railway station in Szeged. It is a newly renovated station. Tickets and travel-cards for the local transporatation can be bought at special booths in the station. You can also pay for tickets once you get on board the transportation but it costs more.

Tram #1 (street car) stops opposite the railway station and takes you downtown (5 to 10 minute ride).

The only way I've travelled there so far is by train from Szeged, and there are usually several that run between Budapest and Szeged each day. For more information on train times, try the offical website: http://www.elvira.hu/index2.htm
Most places in Szeged can be reached simply by walking, and it's certinally worth it to see the sights, however, the alternative is the bus or tram system that runs around the city. To use this, buy a book of bus tickets from a local newsagents and when you get on the bus you will find a small box in which you side a ticket and stamp it (which is either automatic or a button you have to press). Each ticket will cover you for one ride of any distance.

It would have been a pleasant trip if we had brought more food. Not expecting a bus to take so many deviations on a long route from Tiszafüred to Szeged. It took more than six hours, but saw a lot of small and nice vilages quite well on route. Anyway, we needed a lot of time to rehearse (with help from an elder lady in the bus) the name of one of the towns we passed: Hódmezövásárhely

There are buses and streetcars in Szeged however because the downtown includes almost all the areas of interest, the city is easily walkable.