I wish to find the cheapest method of selling and buying bitcoins, with the lowest fees, any ideas?
The factors that matter are:
- Where are you (country)?
- How much are you looking to by?
- What payment methods can you use?
- How soon do you need the bitcoins?
- Is privacy / near-anonymity important?
Only once those are known can recommendations be made.
In the U.S., Coinbase works for many. 1% fee, though they are out of inventory frequently. Other times there's no guarantee that your order won't get canceled.
A fairly comprehensive list of methods exist on the Bitcoin wiki:
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http://en.bitcoin.it/wiki/Buying_bitcoins