All correct bvut do not have grass paths: grass is invasive and harbours slugs, you want bare soil with some compost on top so black poly for a few months initially (oaths only) will be good. Firm the manure down on the beds, 4-6", then spread an inch or so of reasonably fine compost on top of it, you can then sow and plant straightaway, I even did that with carrots this April.
Good luck.