If the perennial weeds are already cleared and only annual weeds (for example, groundsel with yellow flowers, bittercress with white flowers and cress-tasting leaves, speedwell with pretty blue saucer flowers), are your problem, it’s a good idea to cover the patch for a couple of weeks in early spring, next year. This helps warm the soil so you can plant or sow a couple of weeks earlier than if you left the patch open to the elements. Use sheets of clear plastic –it warms and dries the soil, and – transparent – encourages the germination of any dormant weed seed. When you uncover the patch to plant, these are easily cleared by hand or hoe and you will have a weed-seed-free bed. Fleece also works well.
The other key thing with weed control is to use a carpet of mulch to prevent any weed seed that drifts in from germinating in your soil. As you plant out your seedlings in a few weeks, lay a good 2 inch of mulch in between your rows. This should make your patch relatively weed-free through the summer and so easier to maintain.