Coinbase was and is a good place to start. But their fees have never been the lowest, and until very recently the transfer fee to move things off of Coinbase has been high, and really annoying. That has recently changed thanks to integration with the Lightning Network, but those fees are still not zero, so be aware of what you are paying.

Get familiar with the wallet options, and choose the best one for you and your situation. Map out on paper what wallets you have and figure out what the transfer fees will be along the various paths available. When you figure out the cheapest path to move things, then do it.