When it is really cold I cannot get the car into 1st gear or 2nd gear. I had to
let the car warm up for about five mimutes before I could drive. Then I was
smelling a burning odor. Now, I notice the colder it is the harder it is to get
into gear.

Is my clutch dying? Is it expensive to fix? Can I fix it myself?

 

Car???

Low fluid in the clutch master cylinder reservoir?

Fluid leaking at top of clutch pedal or around the slave cylinder?

Spongy clutch pedal?

 

Need more info, hard enough to diagnose via internet.