there are so many different layouts you can do both solo and with another person. you are prob best to get a book, i have several books on tarot, i find the best one is the tarot bible. my favourite layout is the mystic seven layout. seven cards about what is going on in your life right now and what could happen if you following through on what you intend to do. i always use this one if i have a problem or im in doubt about something. hope this helps you. blessed be.
I've been using tarot cards for a few years now, you'll love it. One of the best sources for tarot spreads is a book called "Power Tarot" by Trish MacGregor and Phyllis Vega. It's got more than 100 spreads, and was a great help when I first started learning. Good luck with it! :D
a really helpful site to look at is aecletic tarot, on this site they have loads of tarot spreads and also the meanings of each tarot card are really well explained, it's a brilliant source of information for tarot cards x