It is best to start small with a solar system, as soon as you get it hooked up you see and understand the issues of a larger system,
A great place to start is a 20 to 50 watt solar panel, basically get the cheapest you can find since it wont matter as much in a small system, I dont like the flexible panels much since you will eventually wear out the wires that connect all the solar cells on the panel,
I like morningstar charge controllers, I know several that have them and I own a few of them,
Get a cheap one that handles 20 amps, it is a small one but still handles up to about 400 watts of panels.
The cheaper ones will be PWM controllers, the MPPT controllers dont make much sense until you have several hundred watts of panels or more and the MPPT controllers cost a lot more and only give 5% to 10% extra power in real world situations.
Just a single ~100 amp hour deep cycle battery will work well, is best to stay away from batteries that mention their CCA rating since they dont handle deep discharges very well due to their thinner lead plates.
If you already have an extra car battery it will work pretty good in the short term especially since this would be your first/experimental system.
A system this small can be carried outside in the day and brought back inside at night or even mounted on a dolly or wheeled table.