I'm currently in the midst of writing a research paper concerning the levying of troops during the Early Medieval period and their experiences as being part of a Medieval army. After some thought, I decided to be adventurous and use the Fyrd of King Harold's army as my case study as this is one of the most written about battles in history.
I'm currently using some contemporary works concerning Hastings, but the core text I'm using is The Gesta Guillelmi by William of Poitiers. As excellent as Poitier's account is, it shows Hastings through the Norman perspective and here I hit the crux of my problem. I'm have a devil of a time trying to find any Medieval texts that contain an Anglo-Saxon account of Hastings or any other text I could use that would have been contemporary then talking about the Anglo-Saxon Fyrd.
So good Historians of Reddit, I pose to you my question. Are there any sources that are readily available concerning the Anglo-Saxon experience at Hastings from the point of view of levied troops?
This is a little late for my period, but I would say expecting to find anything from the point of view of the troops would be highly unlikely. You would be best looking for law codes and charters etc. which regulate the levying of troops. Don't restrict yourself to the period just before the battle. Due to the sparseness of evidence from this period, it is perfectly acceptable to look at older sources to find information on general practice for things such as levying troops. Something such as Mercian charters and the Tribal Hidage from the eighth/ninth century are generally seen as important sources for the practice of levying troops.
In terms of what narrative sources are available, the main one by an English author is William of Malmesbury's account. He was not a participant in the battle, and it is unlikely that many of those who fought were literate, but he does provide a fairly descriptive account of events, if you are willing to take his version at face value. Also have a look at the Anglo-Saxon Chronicle for the occasional useful bit of information, and also the 'Life of King Edward' which gives a pro-Godwine account of the political events prior to Harold's defeat.
If you have the opportunity, have a look at some decent textbooks on the period. For a starter I would recommend James Campbell, 'The Anglo-Saxons', which has a full chapter on Edward's reign and the battle, with good detail on the available sources.
Of course, the other thing to remember is that the Anglo-Saxons lost the battle, and since accounts tended to be written after the event, it is unlikely they would have been created once the Normans were in power.
I leave it to people who know more about this to say more about what specific sources are available, but that is probably where to start, in case you don't get any more advice.