The first - and in most cases, the only - step is to download all your data from Coinut and upload it into Koinly. There are a couple of ways you can do this:
Note that if you decide to use CSV files, you have to make sure to import your deposits/withdrawals and trades for ALL previous years !
That's all you have to do. The only other thing to be vary of is to tag your airdrops/forks so they show up as Income on your final cryptocurrency tax reports!