Holly - I sent you a PM, but am answering here also in case others want information.
The shorter hike we did was up to Hals Alm. The hike started near Hintersee (about 10-15 minutes by bus 843 from Ramsau), headed up a wide smooth trail through the woods with nice views as you approached the top where the trail opened up into a beautiful open area surrounded by peaks and full of cows! There is a small hut that serves cold drinks and cold sandwiches. I think it is actually the home of the people who herd the cows. You can return to Hintersee the way you came up or do a circular route back down. If you continue on the loop, you will probably want hiking boots. If you go back the way you came, you would be ok with comfortable walking shoes.
The other hike we were going to take went up to Bind Alm in the Klausbach Valley which also has a hut for food/drink. This hike also starts near Hintersee. I say "we were going to take" because when we got off the bus, all the German speaking hikers headed to another waiting bus (I think 847). We figured the bus must be going somewhere good if all the locals were getting on so we asked someone where it went. "To Austria", he said pointing straight up the mountain. Totally out of character (my husband follows all the Boy Scout safety rules which include knowing where you are going) we paid for the bus (not included in the free bus pass) and headed up to a place called Hirscbichl which is right on the border. There are many hikes on the way up on the bus and hikes starting from Hirscbichl itself. Hirscbichl has a chalet with food/drink. We hiked to Kallbrunnalm (around 5-6 hours round trip) and ate at a wonderful hut that had full meal service (drinks, traditional hot entrees, cold sandwiches etc) I don't think I have ever been on such a beautiful hike. You could definitely find shorter hikes from Hirschbicl also, and then could hike down the Klausbach Valley (another hut on the way) or take the bus back to Hintersee. We wore hiking boots but this hike could be done in comfortable shoes.
For help with googling more information, Hirschbichl and hikes on the Austrian side of the border are in Austria's Weissbach National Park.
The word "alm" means Alpine pasture or meadow, so that might help as you research hikes.
We hike a lot in Washington and have also hiked in California and Idaho. This is one of the most beautiful areas I have been.