Jailbreaking iOS 6.1.6, help needed?

I need some advice about jailbreaking my iPhone 3GS, which is currently on iOS 5.0.1 (untethered, jailbroken with redsnow).

The first thing I need to know - how to keep my games and savegames, because I often play games and I wouldn't like to lose all my progress after this.

I don't want tethered or semi-tethered jailbreak, I need untethered.
So where should I begin? Can I use redsnow like before or is there a better method? Because with redsnow, I often get "Exploit failed".
I only have iOS 4xx blobs, iOS 5.0.1 blobs and 6.1.3 blobs.

IPhone 2007 An iPod, a phone, and an internet communicator?

I was watching Steve Jobs's 2007 iPhone introduction and I would like to know how to make the spinning cube animation for slideshows like the one where Jobs go "An iPod, a phone, and an internet communicator Are you getting it?".

Please watch the video if you are unfamiliar

(Starting at 0:55)

Can I use the 30-pin adapter to play music on my speakers?

I have a speaker with an old iPhone 4 dock but I now have an iPhone 5s. Can I use the lightning to 30-pin adapter (http://store.apple.com/dk/product/MD823ZM/A/lightning-to-30-pin-adapter) to play music or can you only use it for charging?

Added (1). Btw, if it makes any difference, my speakers are Yamaha PDX-31http://usa.yamaha.com/products/audio-visual/desktop-audio/pdx-31_black__u/?mode=model

Transferring CD to iTunes to download on iPhone?

So, I'm kind of confused about this. Let's use Beyoncé's latest album for example. I bought her physical copy of the CD, yet I'd like the entire CD on my iPhone. I don't have a computer to transfer the songs, so how do I go about doing this? How could I take a CD I bought and transfer it to my phone? Is there a way that I can prove I have the physical copy and download the iTunes version or something? I don't know, idek how to word this but if you get it please help me out.

What is the latest best and cheap gadget?

Its my graduation this march. And my brother is asking my what should he gift for me. I can't think anything. He's saying if I like iphone 4s but honestly i can't decide right now.

Bought an ee iPhone, t-mobile sim shows no service?

I bought an iPhone off eBay, it said it was on the ee network, so I got a t-mobile AND orange pay as you go sim and they both say no service! Other mobiles on tmobile or orange network do get signal here?

Why can't I get a MONTHWEB with my iphone 5s?

For my birthday a few days ago my mum bought me a Iphone 5s… It's not on contract and it's from EE and I'm on T-Mobile. I think it's 4G pay as you go or something…

Anyways I want to try and get one of those Monthweb where you pay £5 and get internet for a whole month as I can't use the internet when I go out anywhere so I can't speak to my friends on wattsapp.

But if I text MONTHWEB to 441 which is what you have to do to get it… They keep telling me to please try again… Why?

I did go to the EE shop yesterday when I was walking past it but unfortunately the problem hasn't been solved. I was speaking to this Indian lady on the phone and she sent me a link that I had to follow it said things like 1. Turn off my Wi-Fi 2. Switch to EE something and something else… But it still didn't work.

And yesterday I texted 150 to AL and it said my current allowance is £5 but I get unlimited calls and text. So when I texted someone and checked my current balance it was £4.88 or something… What the hell is going on?

sorry never had a smartphone before

Added (1). And how the hell did I end up getting unlimited calls and text… Even though I'm not coz when I text someone they take the money out of my credit.

Do you recommend upgrading from iOS 6 to iOS 7 on iPhone 4?

I have an iPhone 4 which runs iOS 6.1.
Its capacity is 16 GB of which about 11 GB are used.
It's somewhat slow & sluggish.
The device is jailbroken, & jailbreak is very important for me.
I'm planning to upgrade to iOS 7 but afraid of turning my device into a turtle!
For those who have iPhone 4 & upgraded to iOS 7: Did you face any problems?
Do you recommend the upgrade?