bittrex and binance are good exchanges and you can choose one of them. they need your nationality ID to increase your levels and don't forget to secure your account with email protection and activate 2fa. I think $1000-$2000 is a big money to start but if you are fine with that money, then you can go forward. it is always possible to buy bitcoin when the price goes low and sell when the price goes up. the problem is you need to wait for a while until the price can go up so you can sell the bitcoin. you need to have to control your emotion so you don't have to panic if the market is down.