In case you want to buy some alt coin that is not available on Indian exchanges, you can check which exchanges support that coin on coinmarketcap.com . Once you know the name of the exchanges, you need to create an account on one of these exchanges. Binance, Kucoin, Huobi, Cryptopia are names of few of the major exchanges that support most of the new and upcoming alt coins.

Once you have an account on a major exchange that supports the alt coin, you can convert your INR into ETH / BTC (preferably ETH as it is faster and cheaper) on one of the Indian exchanges and then transfer your ETH to the major exchange. Then you can convert your ETH to the alt coin which you want to buy.

To convert INR to ETH I use Indian exchanges like Pocketbits and Koinex. After converting to ETH I transfer it to the major exchanges.

I used to use Bittrex. But now I have moved on to Binance. I also use Kucoin, Cryptopia and Huobi from time to time. These exchanges support most of the upcoming smaller alt coins among themselves, apart from all the well known coins

As someone mentioned in one of the previous replies, wallets are not country specific. The best wallets are hardware wallets, as they are the safest. The most popular hardware wallets are Ledger and Trezor. Hardware wallets are expensive but they are worth the money as they keep your hard earned money safe. But in case you have to store only a small amount of coins, then you might opt to go for the free options (mobile wallet, desktop wallet) that are available. Do read about various kinds of wallets and see for yourself which suits your purpose the most. Here is a link from the official bitcoin website that has listed the popular wallets that support bitcoin category wise https://bitcoin.org/en/choose-your-wallet .

I am surprised no one has mentioned Pocketbits here. I have been using Pocketbits for a while and it has worked pretty well for me. I have used Zebpay and Koinex as well, but I have found Pocketbits to be the fastest by far. Generally they process KYC within an hour and Deposit and Withdrawals within a couple of hours. That's way less than the time taken by other exchanges. The support team is quick to respond and it's easy to reach them using the live support chat feature they have. They also support more coins than most of the other exchanges. Make sure you join their Telegram channel where you can get all the latest updates and support too, in case you decide to use their service.

For everyone in India looking for a hardware wallet, you might want to consider Ledger Nano S wallet. It is a very popular and reliable hardware wallet and supports more coins than Trezor. You can get it on Amazon without any hassles related to custom.

Also, I noticed few people offering to sell their wallets. NEVER BUY A SECOND-HAND WALLET. It is very risky and you might end up losing all your coins. There have been few cases in the past where all of the coins of the users of second-hand wallets were STOLEN. Always buy it from a reliable source like Amazon or the wallet's own website.

Looking at the following can give you a good idea:
- Website
- Whitepaper
- Team members
- Github code and activities (commits, issues, etc.) on the account
- Social accounts

Note that this doesn't mean that, if a project has not made there code public on Github or doesn't have any well-known team members, then it is definitely a scam. But these do give you a good idea about the project.

There are a few ways to earn bitcoin: freelancing for companies which pay in bitcoin, faucets (a good place for beginners to start), etc. but I will like to advice you to be careful, as there are many scams that are going on online, who will offer you fast and easy ways to multiply your BTC. Stay away from these so called programs. These are all ponzi schemes and will rob you of your hard earned money. A rule of thumb to point out ponzi schemes is that, if its too good to be true then is not.

There are many exchanges in India that support Ripple now, Zebpay, Pocketbits, Koinex to name a few, that I have used. Unocoin is also going to or has already added support for Ripple.

My top 10 coins to hodl, in no particular order:

1. Bitcoin
2. Ethereum
3. EOS
4. Cardano
5. IOTA
6. 0x
7. Icon
8. Wanchain
9. Nano
10. Qtum