Yeah, you can disarm the mines. If you crouch and move very slowly, aim your reticle at the mine, once you are in range the reticle will turn red and the mine will start to beep, click it. Just save and practice. That area with all the mines is a great place to practice disarming mines. Don't be afraid to save scrub it to learn.
Also, I know you've already made a dude, but you don't seem super far in yet so I'm going to throw this tip at you. Create a guy with an INT stat of 8. Then as soon as you leave the vault run east toward Rivet City. It is a big beached aircraft carrier converted into a town. You'll run into some nasty dudes that you aren't ready to fight, just run. Once you get there don't bother talking to anyone in town (specifically the scientists as it might cause a glitch with a later quest), but run down to the laboratory and grab the science bobble head off of a desk. Run back to Megaton and start questing like normal. Now your INT will be at 9, the max level. That gives you the most skill points possible when leveling. It makes your dude a juggernaut in the late game.
There is also a hollowed out rock behind Megaton with some handy goodies in it. Some sniper (I forget his name) stashed a rifle, stealth boy, and some other goodies in there.
Don't worry about energy weapons early on. Small arms are going to be much more prevalent in the beginning. Get a shotgun as soon as you can. I found that to be very helpful in clearing buildings and caves in the early game.
Stealth. Use it. Early game your stealth will kinda suck, but put points in there when you can. Starting a fight with a massive crit (and a bloody mess perk for fun) is a great way to start encounters.