Strating a trading right now is a good because most of the coins is cheap compared the last time. Binance is your best option now and I think you will be master the featured with weeks only, thousands of capital is good amount to start and I suggest to you better if you invest also to altcoins because you can get more profit on that not only bitcoin. Both invest bitcoin and altcoin for more profit to get.
I agree with you invest in different altcoins with a great potential not only in Bitcoin it's better to choose both. Your capital is good enough to invest for different coins and for exchange you can used binance or bittrex it's up to you because both are good to use.