What's the best exchanges to buy those tiny market market cap altcoins? Please name the safe exchanges.
Go to coinmarketcap.com, click on and altcoin you are interested in and then click on Markets.
Once you've done that for a few altcoins, you'll quickly see an exchange which has a number of them.
FWIW, my current favorite is novaexchange.com -- they have an outstanding support group who are always true to their word.
I used to really like cryptopia, but their support group provides totally incomprehensible output when they bother to respond and their general day-to-day behaviour is completely inconsistent, so I've given up on them.