How are you sending money to Coinbase? Do they have a Hungarian bank account or are you using some kind of international transfer system?
Technically it is international transfer. Both with withdrawing funds, and also with depositing funds. Nowadays financially I cannot afford the latter. My bank exchange the Euro to HUF in case of withdrawing funds. This has a certain transaction fee, but other than that it works properly.
I have to go through a two step process to get Hive.
Nowadays financially I cannot afford it, but this would be the same for me too, because Coinbase currently do not support Hive.
The one with the lowest spread is BTC. I have been using LTC because I'm worried about fees and you cannot even control what fee to try with centralized exchanges.
I also use Litecoin (LTC), when I sell Hive or Hive Dollars (HBD). I use it (and other cryptocurrencies too) to avoid the high transaction fee of the Bitcoin (BTC).
I use Blocktrades to sell Hive and Hive Dollars (HBD) to other cryptocurrencies.
I think you have access to other cryptocurrency exchanges you don't know about. I mostly look for options available in my own country as it cuts down on fees. I make sure not to keep money there for long periods of time longer than a day or two and when first trading I trade with small amounts in order to lower the risk of some surprises I may get. You may want to stick with Coinbase, and that should work out for you if your government stays on their good side. 😁
It's too bad you cannot get cryptocurrency directly from someone in Hungary.
If this is their good side, then I do not even want to know their bad side. But I hope for the best. Fortunately/luckily nowadays at least Coinbase is working properly. I am looking for a solution to avoid having to pay the high rent and the also high regular monthly bills from the next winter, and cryptocurrency is helping a lot in this, so hopefully it will continue to work in the future too.