New member with a few questions .. Pics added ..

What model is this exactly?
A Desire, Desire S, or some other variant?
The Desire has a proximity sensor in the top left corner, no lights.
It is generally a BAD idea to run ATK. See here: http://www.htcdesireforum.com/htc-desire-general-discussion/app-killers-don't-help-with-battery-power/
It sounds like your new phone has a later version of Android than your old one, with a new keyboard. There's a very nice keyboard available on the app market, called "Keyboard from Android 2.3"

Heres a picture of the blue lights.
There LEDs or something, can anyone help?



I know there quite hard to make out but they are there.

That's the proximity sensor indeed.  For the record, those lights don't come on because they're not really LEDs.  They may be more visible sometimes due to the angle at which light hits them. 

If you have read the topic that Ric pointed you to, you already know my opinion and views on ATK.  So I will not go any further into those.

However I will point out again that it can take up to two weeks for the phone to adjust.  Especially during the first few days it might be a good idea to keep your charger with you at all times.  At first the phone doesn't know which apps to kill, so they'll run amok for a while. 

Generally speaking, people seem to have a 5-10% extra battery life without ATK, but there have been a few cases where battery life got worse indeed.  However it turned out that this was caused by badly coded apps.  Removing those sorted the problem.
So if you notice that it hasn't improved after 2 weeks, we'll need to look into it.

FYI, I've personally seen much bigger differences.  My first Desire managed close to 100 hours of pure standby with ATK and 230+ hours without it.  Both tests were conducted in the exact same conditions with the exact same setup.

I'd let Android sort it all out.  If you start forcing apps to quit, the OS will not learn that they keep using resources and that they need to be killed. 

That being said, if you really never use facebook or twitter, you might want to stop those from syncing.  That should also stop them from booting themselves every time.

Settings -> Accounts & sync -> scroll to the ones you don't use and select them -> de-select all sync-related options.