New utility sink + washer drain line

[brownetowne]

I am replacing a utility sink in my basement near the washer / dryer. The old setup had the washer drain line empty into the utility sink basin. As part of the project, I would like to plumb the washer drain directly into the plumbing. Two questions, with my existing setup pictured below:

1. *What's my best drain option for both the utility sink and the washer?

2. *Something I liked about draining into the sink was the additional lint catch wire mesh sock that I could dispose of 2-3 times per year. If I plumb into the line, is there something that would allow an interchangeable lint filter?

Thanks all!