If you've no prior experience with Linux, I'd say just try using it. For the average computer user, the overall experience will be very similar to Windows or Mac.

Go easy on yourself, and don't try to do/learn everything all at once. Just use the system like you would any other. Once you're comfortable with the overall experience, you can then tackle more complex stuff if/when you feel the need.

Edit: Just wanted to add that Fedora, Linux Mint, and Ubuntu are all solid choices for beginners.