If you have enough money, you can use digital pots to fade the leds.

You should first do some research, find out what you need, the ask questions. You haven't even bothered to do some research. And if you want people to answer questions, be polite. You could've said, I'm sorry, you know how difficult it is to type on a phone, please don't make fun of me, or something like that

Why  don't you use those rechargable packs ussed in model cars and RC aircraft?

Like this?
http://www.ebay.com/itm/LCD5663R-25H-IEE-Seven-Segment-Numeric-LCD-Display-NEW-2-75-x7-8-/370290491980?pt=LH_DefaultDomain_0&hash=item563708824c

I see. Thank you very much!

You mean display one digit, then the other, ect, and the Arduino is so fast that you can't tell?

Meguno link can display a graph

Um well it's mainly because my age.

Meguno link

You can solder screw terminals to your circuit board. Don't forget a flyback diode.

I'm really not used to someone calling me sir check my profile. Just call me Habib 

Do you know how to wire a pull-down resistor?

My mom let me take apart a washing machine probally about a month ago, and I found all sorts of goods in it like a soleniod valve, and a huge motor.

The motor is an inductive load, so when the motor stops, the negative terminal will let of high voltage that can potentialy damage your MOSFET or Arduino, the diode prevents that.

Maybe you can add a spring to cusion it.