I found this method of making chainless foundation single crochet while working on the strap for my purse. The result is less stretchy and quite sturdy and I think I will began using it in my future projects.
Here is how I did it.
Step 1. Slip knot, chain 2. 
Step 2. Single crochet on 1st ch.
Step 3. Insert hook into the space between the 2 vertical bars.
Step 4. Pull a loop
Repeat step 2 to step 4 to continue…
You are done!
To do the next row, turn your work, chain 1, sc into each of the chains accross.
