Thanks all for the replies. Ive done a lot of reading around the subject of headphone amps the past week and there are some aspects that I am slightly confused on.
1 - Is an amp needed for the HD650
There seems to be quite differing opinions on this. Some have said that they are happy with the volume from an iPhone, others say quite categorically that you must use an amp the get the best from the headphones no matter what volume.
I can understand that the amp in a phone outputs much less power than a dedicated amp. But, if the power of the phone amp allows me to listen to the loudest passages of audio at my preferred listening volume (or louder), then surely that is enough?
There are suggestions that even if this is the case, that the headphones will sound better with a more powerful amp. I don't understand this. I can understand that they may sound better with a higher quality amp.
I would also have thought that there would be some clear, black and white guidance on whether a source (such as a phone) can drive a particular headphone to a certain volume using a standard test track that may contain a good variety of musical genres.
2 - the quality of the amp needed.
@solderdude very helpfully linked to some specific cheap amps above. As a newcomer to this, i was confused that these could be considered to use with a quality headphones such as the HD650's. In my uneducated opinion, it seemed obvious that cheap amps such as these in the signal path would degrade performance. But given that these have been suggested by somebody with a lot more knowledge than me means i am obviously wrong!
So how much difference would there be between using one of these amps (along with an apple usbc dac) and £100 amp/dac such as the e1da? Or even one of the high end desktop amplifiers?