Yes, you can do caving in Lonavala. Though it has a lot of caves, the most preferred caves for caving are Karla caves for a good experience. You can book your tour through Thrillophilia where you get a lot of options for adventure tours in Lonavala and they can set up an equipped campsite in the caves for a never forgettable experience.
There are a lot of things one should carry while doing adventure sports, starting from comfortable shoes that fits you properly to avoid frostbite and discomfort while in action. Since activities like camping and trekking take you into the woods you must take mosquito repellent with you as they will be waiting there to welcome you.
You should also take extra clothes as well as sunscreen and sunglasses while keeping the sun in mind. You may even need your flip flops and towel if it is an overnight stay. Moreover, it will be ideal to carry your camera as well as a flashlight with extra batteries.
There are certain things you should always keep in mind while experiencing adventure sports. First of all, you should be mentally prepared to attempt the activity followed by having a healthy body to do it. Even make sure you listen and follow every instruction you are being given by your instructor.
And yes, do NOT take your gears as a joke and wear them completely and properly. Moreover, a little warm-up before the activity will give a good stretch to your body which reduces the chances of injury.
Lastly, make sure you are wearing appropriate attire for the activity along with comfortable shoes. Following all these will ensure a good and safe experience of yours.
By bus: Lonavala has a local bus stop which is very well connected to major cities like Pune and Mumbai. You can easily book a ticket on a comfortable bus to Lonavala.
By train: There is a local railway station in Lonavala with good traffic of trains from major cities like Pune and Mumbai. So you can easily catch a train to the hill station and further book a taxi to the significant places of Lonavala.
By air: Mumbai Airport is the nearest airport to the hill station. So you will have to catch a flight until here and further book a train or bus to reach Lonavala.