Unfortunately there is no direct trainline to Suzdal, so an organized bustour seems to be the best solution. I came to Suzdal from Ples, about 100 km north of Suzdal and the drivingtime to Suzdal was about 3 hours one way. That tour was organized by our cruiseship M/S Furmanov on her way from Perm to Moscow. The fullday-tour was 65 euros including a lunch-package and all entrance-fees but without the fees for Photography !
Also from Moscow there are regular bustours organized to Suzdal, mainly in summeretime.
It's not hard at all to get a cab in Vladimir to Suzdal'. And it's not expensive. Yet, we picked a real crazy driver, the road was more like a rollercoaster for him, and he enjoyed trying a few stunts. The ride took less than half an hour. I couldn't believe we were alive when we arrived to Suzdal'...
It's harder to get a cab back in Suzdal', you might have to look for one for a while.
Walking around, getting lost, entering in the kremlins and monasteries, crossing the stream on wooden bridges, exploring the country side, lying in the grass, eating bliny (russian pancakes), looking what's inside the churches, horse riding, breathing fresh air.
Though Suzdal is a place to walk (since everything is quite closely situated), if you really want to take a bus, there's a route number 3 - the one most likely to be of use to a tourist. The buses on this route depart from 6.00 to 19.00 every 45 minutes from the main bus station, and goes through the town center, and vice versa.
From my personal perspective: I do not really advise you taking public transport in Suzdal, except in cases of severe time shortages, like you're late for your bus. And during rush hours it's the worst thing you can do, for you'll be crammed with loads of other (mostly angry) people in a small bus with no air conditioning. So think again!
With trains out of the equation, buses are pretty much the only option that remains open to you. There are intercity and local buses that go through Suzdal from / to Vladimir, Ivanovo, Kostroma, Yaroslavl, Ryazan, Minsk (Belarus).
The tickets for the transit buses (that go through Suzdal somewhere else) are sold upon the arrival, because sometimes the buses don't arrive on time due to breakdowns and traffic jams. But it's better to queue beforehand, to be sure you'll have the tickets.
A few words about comfort. Do not expect the buses of the European quality to come. These are second-hand buses from Germany/Netherlands in really poor state of repair. It’s like that in each part of Russia I’ve been to, apart from Moscow region, may be.
The bus station. It’s opened from 5.00 until 20.00, all the buses also depart and arrive between these times, so theoretically you should be OK. But what if a bus is late??
Phones: Call (09231) 2-13-43, or (09231) 2-01-47 for information on buses and tickets. Staff seems to be less educated than in Moscow
Getting to the bus station: It's located 20 minutes walking along Vasilievskaya st. from the Trading Arcades (or Sovetskaya sq). If in doubt, ask locals for avtovokzal.
Attention Folks! There is no railway station in the town of Suzdal, so there's no train connection with either the other cities of the Golden Ring or with Moscow for that matter.
The closest railway station is 30 kilometers on the north-west of the town in Gavrilov Posad. This makes taking a train an extremely inconvenient option, as after the train you simply have to take either a taxi or a bus from Gavrilov Posad in order to reach Suzdal.
Well, it is difficult to decide what to list as being the type of transportation you need to get to Suzdal. There are no trains that go direct to the city. When I went we took a train from Moscow to a small and ugly little town of Petushki, then a taxi to the city of Vladimir, and then a small bus to Suzdal. Now, be aware that if you plan further in advance than I did on taking this trip, that you CAN take a train or electichka all the way to Vladimir, but the electichka that was leaving when I got to the station didn't stop at Vladimir. You can also take a bus dirct to Suzdal which takes about 4 hours. This is how we returned and to say the least, it was very uncomfortable. We were lucky that we had a seat on the bus. They sell tickets regardless of capacity on the busses, so it is very possible that you could find yourself standing for the 4 hour trip.