I wish I knew how to make homemade lemonade...
You got it Magicpigeon.  My favorite kinds have a bit of pulp.  Juice containing pulp is more nutritious that juice without pulp, even more so when some peel is added, which is why some people will stick whole oranges and lemons into blenders and drink up.  
  There's a lot of good stuff hiding in those peels.  If you want pulp, you can either first peel the lemon, throw what is left behind after squeezing the juice out into a blender or food processor with however much peel you want, or you can cut off how much peel you don't want after squeezing, or you can carefully peel out the inner membrane away from the outer peel and then add any of the peel you want.  Up to you.  Blend until it looks kind of like applesauce, and then add as much as you want to your juice and stir.  
Lemonade:
Most recipes call for a simple syrup.  For added flavor, you can either use a mix of sugar and honey when making this, or use honey instead of sugar.  A 'simple syrup' is commonly used in juices, mixed drinks, and desserts.  It is sugar added to water, and boiled until all dissolved and yummy.  The ratios can differ (typically equal parts sugar to water, 2 parts sugar to one part water or three parts sugar to one part water), but you will most likely be using a 1:1 ration for most drinks.  You can punch up the flavor by using rose water (easiest place to find it is usually at an Indian grocer) mixed in with your water to make the amount your recipe calls for, or liquor, or another flavored liquid of your choice.  
http://www.ifood.tv/recipe/how-to-make-a-simple-syrup  Those little bubbles in the video are what you will be looking for when making this.
You now have the basis for just about any recipe you try for lemonade.  Now, when looking at how much freshly squeezed lemon juice a recipe calls for, remember that you don't have to use just lemon juice.  Try a combination of lemon and orange, lemon and lime, lemon and blended strawberries, etc.  Have fun and play to your tastes.  
  Once you make the juice to your liking, you can add other flavor hints if you want, such as cranberry, mint, lavender, pineapple, coconut, etc.
Too sweet?  Add less simple syrup next time.  Too bitter?  Add more.  Too watery?  Decrease the amount of cold water you use to dilute it at the end.  Too overpowering?  Add more.  Here is a base recipe to start with:
http://herestous.wordpress.com/2009/09/01/moms-classic-lemonade/
Have fun and drink up.