Let me tackle these one at a time.
First thing is first:
Viper98 is awesome
Second:
I AM NOT A LAWYER
Third:
Open carrying in a car can be tricky. Open carry means that it is in the open, easily in view. If it is on your hip (I'm a righty) while in the car, with you driving, and buckled up (it's the law)... Wouldn't your shirt/jacket, along with the seatbelt, and center console cover the firearm from public view? I know it does with me. While courts have ruled that "In public view" may have a different meaning to a police officer (ie they have a broader meaning), is this something you want to challenge? I can almost guarantee that no amount of arguing with a police officer will convince them that you weren't attempting to conceal it. Your best bet is to keep it in the open.
To do this, I place it on my passenger seat. Some members have anti-slip pads and place it on their dash board. A few members have actually mounted a serpa holster to their dash. If I'm not mistaken, one member actually has holster on his seatbelt, which keeps the pistol right at his chest. All of these options are acceptable. I would tell you to be creative, but be safe and cover your ass.
Fourth:
Carrying a firearm in your hands, in many states, would be considered brandishing. However, Delaware does not have a brandishing law, but they do have aggregated menacing. Obviously this would be along the lines of threatening someone with the pistol. I don't think any of the police in this state are so anti-gun that they would charge you with this, plus it wouldn't hold up.
Here's what I'll tell you about carrying it in your hands. Be smart about it. Keep it in the holster, pointed in a safe direction (down) and only if you really have to. I would suggest that you take the time, in your car, to secure your sidearm on your hip. But to accurately answer your question, there is NO law that requires you to keep it on your hip.
These are fantastic questions you're asking. Please don't hesitate to ask anything. However, unless someone on these boards (myself absolutely included) specifically states otherwise; WE ARE NOT LAWYERS. What we tell you is based on experience and what we've read/heard in other places. Only a lawyer or the district attorney can give you absolute answers.
Basic Gun Safety by Jeff Cooper:
1) All guns are always loaded
2) Never let the muzzle cover anything you aren't willing to destroy
3) Keep your finger off the trigger until your sights are on the target
4) Be sure of your target and what is beyond it