I also grew up with a pencil in my hand. Attempting to draw with a mouse isn't very natural. When I bought my first computer back in 1998 I also bought a Wacom digital drawing tablet. It was the only way I could use the machine. While some find the act of drawing on a tablet while watching a screen problematic for it it is easy, on account of doing it for so many years. Last year I upgraded to a Wacom Cintique and gave it a good try for more than six months before passing it on to my son. I replaced it with an Intuos Pen Medium.
I have two design drawing stations. At my desk is a 27" IMac with a Wacom Intuos Pro (medium size) drawing pad. It works extremely well for my work. My mouse, keyboard and trackpad are also close at hand. I use them as well depending on the task. The Intuos Pro has a bunch of buttons down one side that can be programmed but I dislike that feature and have them all disabled.
In the house or on the road I use my Macbook Pro with a Intros Pen and Touch drawing tablet. I actually prefer this drawing tablet and would replace my larger one with another like it when the time comes. It is thinner and lighter for packing in my briefcase on my travels. It also is devoid of all those pesky and unwanted buttons.
The tablet plugs unto a USB connection but also is upgradable to work wirelessly which I enjoy on occasion.
Drawing with a tablet does take some getting used to. The key is to give your mouse to someone you trust. When you give it to them tell them NOT to give it back to you no matter how much you beg for at least three days. By then you will have gotten used to the tablet. :)