I was taught in the UK, everyone there drives a standard. Once you get it, it's easy, so you need to find somewhere quiet with room to practice. Don't think too much. It's like going up or down the stairs, if you think too much you'll trip yourself up.
The saying is"balancing the clutch", balancing the gas and clutch is a kind off see-saw with your left and right foot. Make sure the handbrake is down. Put your left foot down on the clutch (right foot on the brake) put the shifter into first. As stated already, take foot off brake and put a little pressure on the gas pedal and slowly lift up the clutch . If you stall it's because you didn't give it enough gas. The clutch "bites" about halfway up and at that point you are engaged with the engine.
First gear is for starting, move into 2nd at around 10 -20mph roughly (the engine tells you when it's the right time, you don't want to hear too high a pitch). Another good tip, roughly 2000rpm's a good point to shift up. Third gear is a great gear, great control in general. You'll be in third gear at around 20-30mph. Again, listen to the tone of the engine. Fourth and fifth is for speed, the latter for cruising. You don't want to be in fifth going around tight corners, shift down.
When the clutch is down you are not engaged with the engine, i.e not in full control, so don't keep your foot down on the clutch too long.
For winter when coming up to a bend, don't break on the bend, it's safer to break before the bend and shift down a gear for control. Braking on a bend promotes a slide.
Hill starts are fun! I was taught to use my handbrake to do this. Once you get the clutch engaged and feel the car want to go forward, take off the handbrake and you'll go forward not roll back! Good luck!
In terms of driving in icy conditions, once you get the hang of it you are actually safer with a standard clutch because it gives you greater control of the vehicle. You need to take the same precautions when driving a standard as with other cars. Keep your speed down, don't jam on the brakes, use gentle pressure. If you are on snow or icy roads you will have better control with a lower gear, it will help to prevent your wheels spinning. When going down hills, again use a lower gear.
If you don't feel confident enough about it you really should find an instructor. Again, good luck.