Trying something new

I recently read a post from Lucy about gardening and it got me inspired!  I would love to start a garden but have no experience in that area.  Any suggestions for starting and growing a garden?  We already have an area that use to be a garden that I could use, I would just have to till it up. 

I would love to grow the following: 
-Strawberry's
-Lettuce
-Potato's
-Onions
-Tomatoes
-Peppers
-any other suggestions?

Should I not tackle any of the above list as a first time gardener?   Should I be looking into growing any other fruits or veggies?

Any help would be greatly appreciated!  You guys are always a wealth of knowledge and I have learned so much from you all already!  Thanks in advance!