Jenn, if it were me, I'd pull the crabgrass and check the compost pile to make sure it is properly decayed and can be used before adding it to the beds. Once the beds are prepared, I'd cover them with a good bit of mulch or some weed blocking material to keep the weeds at a minimum till ready to plant. Depending on your climate, plant what you can for your zone. If you buy seeds at a local nursery, the packets have planting guides on them for your particular zone.
I live in New Orleans and now is not an ideal time to plant just about anything but Okra since the summer heat is getting ready to peak for the next 2 months. Most any leafy vegetable like lettuce, spinach, swiss chard etc. will not do well this time of year, but in the fall, they thrive and often carry over till the spring with our mild winter temps.