Can you help me with this solar application?

First off, I'm just learning the ropes of electricity, solar energy, batteries, wiring batteries in series and parallel, AC, DC, DC to AC Conversion and all that. But I do have the same need of energy as everyone else and a strong interest in finding ways to make my life a little less power plant needy because... show more First off, I'm just learning the ropes of electricity, solar energy, batteries, wiring batteries in series and parallel, AC, DC, DC to AC Conversion and all that. But I do have the same need of energy as everyone else and a strong interest in finding ways to make my life a little less power plant needy because I have 6 kids and every penny counts. So I'm thinking of ways to start powering each kids room directly solar. I know allot of people start and want to power the whole house from the get go. I'm taking a different more budget able approach my powering one room at a time. But I need some input to get my head wrapped around the project. So for now I will ask advice on my first step of the grand overall idea of the project. ROOM 1.

Room 1(my room)=

Qty 1- 60" digital projection TV -- run time 8 hours a day
Qty 1- 12v WD TV LIVE media player
Qty 1- Digital Alarm clock

I have access to a plentiful amount of 12v car batteries. I have 3 pallets of these on hand.

I have found affordable 12v 150mA solar panels and plan to buy multiple of these to mount in a panel on the roof.

So this is what I need help with...

1. How many of these fully charged 12 batteries will I need to have arranged to run the stated time period?
2. In what way do I need to arrange them -- How many series and parallel?
3. How many of the 12v 150mA Solar panels will I need to run in parallel in order to charge all the batteries enough to keep up with the demand of the application?
4.From the batteries to the power strip to plug everything in I will need a DC to AC Inverter right? What should I get that would suite this?

I figure If I can get my room self reliant then I can do the other rooms one at a time. I'm not worried about lighting and such at the moment. That can remain the same as it is for now.

Thank you for any of your help in the matter. Looking forward to hear your input.
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