Both of them are good.
The deribit.com is relatively new and it is for a long term investments
The liberoptions.com is for short tem leveraged trading. You can mage 80% profit in few minutes.

For Deribit you need to be experienced even may be professional trader. You need some funds to do something serious.

At Liberoptions.com you can start even with pennys to get a taste and then gradually move to a serious investment.