Solar panels Don't store power at all. They are nothing more than battery chargers, in which the batteries are what stores the power.
Also, you'll need a charge controller to hook inline so at night the batteries drain back into the solar panels, thus damaging them. Think of the charge controller as the same principle as a 1 way water valve.
Obviously, with batteries, you can only run DC powered devices in the voltage that you have them set up as.
Some are 6 volt, some 12, and up to 24 volts, though 12 volt is the most common because it has the most market accessories.
If you run anything that takes AC voltage (basically anything that plugs into your wall) you'll need an appropriately sized invertor to convert it from DC to AC.
Most will only work up to 120 volts which is most household items, so heat pumps and water heaters and kitchen stoves and dryers and such that run off of 220v and such are usually a big NO-GO unless you're wanting to get into the big bucks.
edit to add:
A small 40 or 60 watt panel is not going to be very effective in keeping your deep cycle batteries charged when you're running a lot of items (as in power failure).
They'll do alright for maybe a few fluorescent lights (which use less power than incandescents) and maybe a small TV, but that's about all you're going to get out of a panel that small. Especially if you're on the move and have to carry a big battery bank around, and invertor, panels, charge controller, wire, etc. would probably be a pretty big burden for such a small benefit.
