The controls do get easier over time. There are a lot of different functions to remember. The key is: Don't give up! Just get out there and fly... don't worry about making in-game progress just take the time to learn the basics. Once you feel comfortable reset your game save and come back at the galaxy with a vengeance!
AND: Gimbaled weapons! Not all of us can be Luke Skywalker. Forget the force. The targeting computers in the gimbaled weapons make combat much more accessible.
Good luck out there Commander!
From basic sidewinder .. as others has said.
Learn to dock/land.
Don't get into combat too early. Earn a bit of money trading/courier work
then buy gimballed weapons either burst or pulse lasers (burst do a bit more damage, but overheat more quickly)
When upgrading ship remember to earn enough to upgrade that with better lasers also. You only get fixed pulse lasers as standard.
Also I've never used silent running, it's pointless. You have no shields while it's on and they take time to recharge once switched back to normal. Leave that for the experts.
Regarding controllers. I've gone with a cheap Hotas stick. These have a limited life, but don't cost £100+
You'll still need keyboard for various functions.
The two best cheaper sticks on the market both are very good and with a bit of DIY repair/cleaning can serve well for quite a while.
I'd customise the controls to suit the most common functions you use.