"all tournaments are held indoors so i guess light levels may come into play". Yup.

Look at the selection of cameras and camcorders in your price range and above (keep in mind that consumer cams go from about £50 to £1,500). Things happen to the video capture device as it increases in price. The lens diameter gets larger (allows more light in to the image processor) and the imaging chip gets larger (allowing the light to be processed and digitized before storing to the recording media - granted, you can't see this, other than the specifications listing). The larger lens diameter and larger imaging chip allow a wider window of lighting opportunity.

Another huge contributor to potential video quality is the amount of compression applied to the video stream. Generally, the specs will list this as "mbps" (megabits per second). A higher data rate generally means less compression which means less discarded video data, higher video quality and larger video files. Conversely, a lower data rate means more discarded video data, lower video quality and smaller video files.

Humans were not designed to remain steady for very long - so yes, some sort of steadying device is very desirable. A tripod is common.

You did not say whether you plan to do any sort of editing. This could mean as little as cutting unneeded parts or adding a title (like the date of the event, venue, tournament, competitors in the match) or as complex as having multiple sequences in a single playback window with special effects, scene transitions, slow motion sequences, etc.

Not all current consumer grade video capture devices capture the same file types. Some need manipulation prior to uploading to sharing sites. Those using AVCHD compression (most camcorders) will need some sort of intervention prior to uploading.

In your price range, there's a relatively new "action camera" category that records to MOV or MP4 files and can be directly uploaded. The GoPro Hero series and Sony Action Cam series are examples. And they have a bit of a wide angle lens already included. There's no zoom, so you are fairly limited. Lenses are small diameter, but they can do OK under some low light conditions. They are small - and even may allow connectivity to a smartphone or external device (via wifi) so you can see what is being captured. Because these are "action cams" they have a fast frame rate capture option that, when played back at normal 25 fps (PAL standard) results in slow motion.

And if you are feeling like having a little fun, these action cams come with all sorts of mounting options (including helmet) so you can wear the cam rather than carry a tripod.

You're not going to get the visual quality of a £50,000 Phantom or other high end slow motion camera - but you probably already know that. The only other option I'd suggest is something from the Canon HF R series that may fit your budget (but they are AVCHD cams and we already discussed one of the downsides).

YouTube has all sorts of video samples from various action cams. (For what it is worth, I ended up with a Sony AS30V - though the GoPro Hero3 Black and ContourHD were on the short list. I did get the mounting pack, external skeleton case and extra battery pack.)

We know nothing about your computer so have no way to know if it can deal with deal with high definition video which is a *HUGE* computer resource hog.