My MIL taught me to can my first year of marriage when I came to her house and she was preserving her garden vegetables. Little did I know that years later, I would have my own garden with vegetables to can myself. Canning vegetables is nothing to shy away from. Even if you don't have a garden, buying homegrown vegetables at a good price and preserving them is a smart thing to do. I have a friend here who is a grandma. She spent years working in her garden but now prefers to drive 1 hour to the closest Amish community weekly all summer. She buys large quantities of their produce at an excellent price and preserves them herself without the backbreaking work with manning her own garden.
I was going to do a tutorial on canning but realized there are so many good ones out there, that I won't try to compete. Basically, you will need a pressure canner like this one. I think I got mine at Walmart 10 years ago for about $30.
These are a few tools that I didn't start out with but have found VERY helpful: funnel, strainer, can grabber (that would be my own redneck term - not sure what it's really called). They don't cost much either. Of course you will need canning jars with lids too. They run about $1 a can regular priced.
After cooking the vegetables (in this case, green beans) for just a few minutes (each veggie is different so check a chart on line to see how long), then place them in hot jars, add cooking water to about 1/2" of top, add 1 tsp. canning salt and seal with lid.
Charts on line will also tell you how long to can them, as will your canner handbook with directions on pressure canning. Tomatoes are acidic and don't have to be pressure canned. You can just cover them with water (called a water bath) and can them that way. It's a tad bit easier.
Canning is a beautiful thing. At the time it might seen tedious and you might feel you have better things you should be doing, but when the winter comes and you open one of your cans of summer, garden vegetables, well....there's just nothing better tasting!