Just by being here and reading the forum, you are going in the right direction. Here are a few tips to help you out.
1. The book "How To Brew" by Jon Palmer is a great reference to have.
2. Make sure that your equipment is cleaned well and anything that will come in contact with the beer after the boil is sanitized. I recommend using Starsan as your sanitizer. It works great, is fast, is no rinse, and dont worry about the foam. It will sanitize too.
3. Make sure your wort is cooled to at least around 70 degrees before you add your yeast. Use either an ice bath or immersion chiller to accomplish this.
4. Be sure to aerate the wort prior to adding your yeast. (Buying an O2 stone is one of the best brewing investments I have ever made).
5. Control your fermentation temperature as best as you can. Generally, keeping the fermenting beer in a cool space in your basement will be adequate. If you dont have a basement or a cool room, there are other low cost options such as (http://www.homebrewersassociation.org/lets-brew/homebrew-hacks-aquarium-heater-fermentation-controller/
6. Pay attention to your airlock. No activity is probably OK, but if you see some tanish sediment in there, add a blow off tube or you will have a huge mess to clean up.
7. Most importantly, have fun and dont get discouraged if you are not making perfect beer right away.