Appreciated. The transaction confirmed last night. I've made copies of the wallet. Is there anything else I could do for security or is that enough? BTW, who gets paid the transaction fees?
Are you using a HD wallet? If so, just make a few copy of the seed and you're fine. Security wise, try using an antivirus and scan regularly. Of course, that isn't enough, you must ensure that you don't download anything suspicious or go to any suspicious website. If you want it to be extra safe, use an offline computer, download this script:
https://github.com/pointbiz/bitaddress.org. And open the html with the browser. You can go to paper wallet, generate a paper wallet and print it. Optionally, you can encrypt it with BIP38, there's an option for that. You can then use a mobile phone with mycelium and use their cold storage feature to spend it in the future.
Miners. They are given the incentive to mine your transaction for you. After the block rewards ends, the fee will be their only revenue. And also, they help to prevent network spam by making the cost higher, most miners confirm those with fees first.