Switching from Coinbase to Binance

Hello there,

I have been on Coinbase for some weeks now and noticed the sheer amount of people complaining about the lack of customer support and fishy things going on. Before im in the situation where I am in trouble because of that i decided to switch to Binance.

I have some coins that are not offered on Binance, can i still transfer them onto my binance account?

How difficult/complicated is this switch gonna be? Can i just transfer my assets without trouble or do i have to expect some difficulties?