To the North...

Doune,  Doune Castle (featured in "Monty Python and the Holy Grail"!)
Deanston Distillery
Callander

To the East...

Blairdrummond Safari and Adventure Park is literally 5 minutes away and next to it is Briarlands Farm
Dunblane  (with Train Station)
Bridge Of Allan and Bridge of Allan Brewery (with Train Station)
The Wallace Monument

To the South...

The City of Stirling and historic Stirling Castle

the Old Town Jail
the Beheading Stone
the Tolbooth (an exciting venue for music and arts)
Cowane's Hospital (don't worry, Stirling also has a modern, fully functional hospital!) 
The Smith Art Gallery and Museum (free admission to The Stirling Story)

...and much much more!

Stirling is a popular shopping centre offering a wide range of restaurants.  Activities available include swimming, golf, ten pin bowling and a cinema. The City Sightseeing Tour on an open top bus is an alternative way to explore the city.  Stirling Station has regular connections to Glasgow, Edinburgh and is the gateway to the rest of Scotland.

To the West...

Flanders Moss
Kippen

A little further than 10km...

Dumyat and the Ochils, The Gargunnock Hills, Fintry Hills, The Trossachs and Ben Ledi...
There are all kinds of walks to enjoy from quiet strolls in and around Stirling, Doune, Dunblane and Bridge of Allan to more challenging hikes on the many local hills and mountains.

Crieff, Braco, Falkirk (home to the Falkirk Wheel).

Loch Lomond & The Trossachs National Park (approximately 40 minutes drive),
Glasgow (approximately 40 minutes drive),
Edinburgh (approximately 45 minutes drive),
St. Andrews and the Fife coast (approximately 1.5 hours drive).