I have always just used a razor. I've personally never waxed or used depilatory creams. I do it at least every other day. I have just become good and efficient doing it because of practice.
**If shaving for the first time, clip or trim your "bush" first with scissors or electric clippers and get it down as close and as completely as you can**
1) Thoroughly wash, clean and rinse the entire area that you want to shave with warm or hot water FIRST. This removes dead skin and dirt which is the number one cause of irritation. If you have the time and desire, the best way is after a good hot bath. Water gets into your hair and softens it. Softer wet hair is much easier to cut and shave.
2) Use a moisturizing shaving gel or cream and thoroughly apply it to the area first. If you do use soap instead, do NOT use an antibacterial soap or harsh soap because these will dry and irritate your freshly shaved skin and hair pores. A good soap is the famous "Dove" soap. Reapply the shaving gel/cream/soap as needed throughout the shave if needed.
3) Use a clean and relatively new razor. Never a dull or old one. Use short, light to medium strokes in the direction of the hair. Never against the grain. Pull the areas of skin around where you are shaving tight and smooth so that you minimize cuts and also have better contact for a more even shave. Thoroughly rinse and clean the razor every 3-5 strokes.
4) After repeating the first steps until you are done, you want to gently wash the area again to remove any hair debris and shaving gel/cream in warm water. This will also help rehydrate your skin. Pat dry with a clean towel. Avoid roughly rubbing yourself dry.
5) Lastly, use a good, gentle and natural moisturizing lotion on the whole area. If you are extremely nature conscious then, believe it or not, good olive oil is great for your skin and for freshly shaved areas (it has healthy fatty acids, minerals and antioxidants). Real aloe vera is also amazing for this but avoid big expensive bottles of chemicals that have aloe added. Try to find actual aloe vera. You only need a little bit when using olive oil, aloe or other natural substances on your skin.
Sorry I don't have any tips or advice about waxing or creams. I just don't have any personal experience with those.