Lol, I have "designer" chickens (silkies and cochins). They are the best!
erthe-mama, I was in your position last summer. DD was around 18 months when it was gardening time, and she was the queen of the "run away every 2 seconds" stage. She owned that stage. Unfortunately, our garden was not fenced in, and it was nearly impossible to garden and watch her. She did not like the playpen, it was too hot for my Moby-type sling, she didn't want to sit in the stroller, and she hated those little toddler leashes (yes, I tried toddler leashing her to me while I gardened!)
All she wanted to do was run. Would not play in the dirt, or with toys. Nope.
So, my recommendation is to somehow fence in a part of your garden, if your toddler is anything like mine. This year, she's almost 2.5, and the time has made a world of difference. Of course, we have fenced the backyard in, so her wandering has limits! But now, she'll occupy herself, and even tries to help me. It's adorable!
If all else fails, try a fence, even a temporary one.