Hi David,
If the battery is fully charged when you put it away, then a 14 watt 12 volt panel will keep it that way - depending on the average light intensity it may be able to do more.
Like most things, the recognisable brand names are probably the "best" in terms of quality, warranty, life expectancy, etc. So Sharp or Kyocera would be a good make to go for.
Sun elevation - in the winter the sun climbs to a maximum (at noon) of 30 degrees above the horizon, 50 degrees in Spring and Autumn, and 70 degrees in Summer. These are approximate values for the whole of the UK.
The panels work best point "flat on" to the sun - so the sunlight strikes at right angles.
The skylight would be sort of OK in the Summer and terrible in Winter, but if you can arrange it, then the front or rear windows would work best - with the panel at say 45 degrees.
Robert