Coming from the Slovak side if you volunteer to carry up some coal (5-10 kg) to the Rysy hut (Chata pod Rysmi) you will receive a complimentary cup of tea. A nice idea!
There is a legal possibilty of camping during the summer season (july-august) on Polish side .
It is a base camp field of PZA (Polish Alpinism Association) at Szalasiska Meadow ,about 20 minutes down the road from Morskie Oko chalet .
The cost per person/night was something about 15 zlotys (3,5 Euro ) last season (2004) .
Special attractions ?
Occasional night visits of local bear family ;-)
And then(from Strbskie Pleso) you have two possibilities of getting to the next chalet -green marks or red marks.In winter it's better to take the green one because there's an avalanche danger on the red marks.It takes a little bit more than an hour to get to the chalet near Popradskie Pleso(Poprad's Lake).Then following the blue marks(about 1,5 km) toward north and after that you turned right and by red marks via Rysy's Chalett you reach the summit.From Popradskie Pleso it takes about 3 hours.
If you don't like camping or you don't want to stay in crowded Morskie Oko's hut there's another hut about one hour from Morskie Oko-Roztoka Hut.It's very nice place,you may meet there proffesional climbers and other people connected with Tatra Mountains.So if you want to sleep in a hut on the way to Rysy it's better to stay there than in Morskie Oko's hut.To get there you go the normal way to Morskie Oko and about one hour from Lysa Polana you will have to turn left(green marks)and after few minutes you will reach te hut.
As i find, hardest route in Rysy massif is VI+, A3
The nearest slovakian town is Poprad. There is also an airport there. By car or by train you can get to Strbske Pleso village, which lies on the southern downhill of Vysoke Tatry (High Tatras) mountain range around the Strbske pleso mountain lake. There you can start your hike to Rysy.
reaching Morskie Oko (Eye of the Sea) Chalet ---> 15km on foot (nice walk) or bike (you may rent one at the enterance of the Park) no cars, horses only
300m below summit on Slovakian side there is a Chalet opened only in summer
Rysy itself from the Polish side is tough going in winter - the path upwards is steep and when it's covered in slow it is pretty prone to avalanche. There is not much protection on it either.
Due to the annual avalanche risk and damage they are going to construct a new chalet about a hundred meters higher than the current one in the near future (info from the hut warden).