I recently reworked a small section of my lawn (200 sqft). This work included solarization, tilling in some compost, rolling flat, spreading seed, top dressing with compost and rolling again. With the help of a water timer, I've been keeping the area moist for the last 2 weeks, to allow for germination. The grass germination seems to be pretty good, not great, but ok. However, this has also allowed weed seeds to also germinate. The most prevalent and the most worrisome is purslane. There are purslane seedlings everywhere! In some sense, this is not surprising as I've been battling purslane weeds in my yard all year and it's all over the neighborhood. But, it's kind of demoralizing. I know that this weed can easily overpower grass seedlings and ruin my chances of success.
At this point, what can I do to control the purslane but allow the grass to grow? I'd prefer the least toxic option possible, but I realize that I might not have many options.