I would highly recommend you at least try and get this book from your library or on inter-library loan (or just buy it).
http://www.smartspendingresources.com/publications.html
I've been fortunate enough to be able to attend a couponing class by the author and the $10 and 3 hours I spent on that class has saved me probably close to $8,000 over the past 4 years (I'm not kidding!) and I'm not even 'hard core' about couponing. Using coupons in combination with store sales I typically save 50-60%. We are fortunate to have double coupons to $.99 everyday here, and sometimes triple coupon weeks...but even without that you can save a substantial amount.
The companion website also has some good information - read through the articles, menu planning and savings examples:
http://www.smartspendingresources.com/index.html
Start keeping an eye open for couponing classes available in your area as well as coupon swaps. The PP's have listed some good boards to visit and you may be able to find some of that type of information there. Also check with your local library, parks and rec, and church communities as those are often the types of places where those kind of classes are held.
Here's some of what I posted on another board I'm on to help the girls there get started with couponing. Keep in mind that this information is over a year old and specific to my area, so store policies may differ in your area, but the general concepts still hold:
Here are some of the best tips I learned from the couponing class:
1. Build a stockpile in your pantry - the idea here is to stock up on basic non-perishable items only when they are on sale and you can use coupons (canned/frozen veggies, laundry and cleaning supplies, cereal, pasta, salad dressing, etc.). Ideally each week when you shop you should only be buying perishables (milk, eggs, etc.) and stocking up on what's on sale. Educate yourself on how many of the same coupon you can use during a shopping trip...for example one store near me allows unlimited multiples while another limits to 3 of the same coupon. Multiples of the same coupon allow you to take best advantage, especially when you can use a coupon in conjunction with a weekly sale price.
2. Join every "Loyalty Club" possible - CVS drugstores let you earn money back, and grocery store club cards coupled with coupons can mean great savings. Almost every store I know that prints their own store coupons will allow you to use a store coupon and a manufacturer's coupon for the same single item item (for instance a Walgreen's store coupon for Campbell's soup can be used with a manufacturer coupon too).
3. Educate yourself on the couponing policies of the stores in your area - who doubles? up to what value? is a minimum purchase necessary to get coupons to double? who doubles/triples and how often?
For instance at my supermarkets: Food Lion does not double, Kroger doubles everyday up to .60, Lowe's doubles up to .99 but only with a minimum $35 purchase, Harris Teeter doubles to .99 everyday
4. Educate yourself on Buy 1 Get 1 (also known as BOGOs) free deals. If you truly pay for only one item and the other is free - that means you can use only one manufacturer's coupon, but if a store's BOGO actually marks each item at half price you can use 2 manufacturer's coupons - that's where the saving really adds up...which brings me to....
5. Get multiples of whatever coupons you can (some stores will accept up to a certain number of identical coupons as long as you make qualifying purchases, others like Walgreens have no limit). I clip from my Sunday paper inserts, and also get duplicate copies from my mom and one of dh's co-workers. Ask your neighbors, family and friends to save their inserts for you.
Another source for multiple coupons are the "blinkies" in the stores - take multiples (I usually take 2-4 depending on the item). Find out which stores have the best selection - for instance I only get blinkies from Food Lion, they have more and carry ones that will double (any coupon with a 5 at the beginning of the barcode will double regardless of whether or not it says "do not double", anything with a 9 at the front will not double), but Harris Teeter carries fewer blinkies that all start with 9 because the store policy is to double up to .99
Swing through the wine aisle and pull off multiples of the wine tags hanging around the necks of bottles - fantastic coupons hiding in there. Most are for at least $1 or more - I've found coupons for make-up, cheese, crackers, condiments, chocolate....
Coupon clipping services will also send you multiples of coupons for a small handling fee - but I use them rarely only for items I really want/need
Coupon Swaps and Coupon Trains are also good sources for coupons - those are usually arranged locally.
6. Go through store fliers each week and match coupons and sales and purchase only those items you will use and can stockpile, in addition to the non-perishables you need. Be prepared to go to more than one individual store to take best advantage of sales each week.
7. Organize your coupons so you can see them. I have a binder like this: http://www.smartspendingresources.com/services.html and it's helped so much! I used to use a little accordion style folder but this is sooo much easier.
8. Don't forget that drug stores like Walgreens, CVS and RiteAid can be a great place to find deals, some nearing free when you use a coupon. CVS lets you earn Extra Care Bucks to spend on your next trip.
9. See if your area has local daily coupon offers from Groupon, Living Social or Twongo. These sites typically offer deals that range from 30-75% off on local services (spa, auto, cleaning), restaurants and activities. For instance I was able to purchase my dh a 2 hour climbing class and 2 weeks of unlimited climb time for $40 and a local climbing gym...a 60% savings. A week at a local horse camp was reduced to $175 for full day attendance with 2 hours of ride time (orig. price $350!).
Good Luck!!!