Develop a block for the site on the home page and a catalog filter.

You want to rework the site on the homepage:
1) the block of output of the catalog of categories - joxi.ru/DmB7ZqZhJRwYX2 is not satisfied as now it is all careless.
2) Bring a filter from 3 purposes on the catalog page - by line / by product type / by destination. I cant figure out where to do it organically - there is no place... joxi.ru/5mdGB5Bf3DkO8r