Q.Invasive weeds, mint, etc. taking over my garden
How can I get of weeds, invasive plants without poison? And, save the wonderful plants growing in the same area. Sure don’t want to kill them. Vinegar, salt, soapy water…enough to really kill the invasive things? I am very frustrated! And, I do not like poison. I have 2 cats that love to sit among the flowers, etc. They must be protected.

2 options, dig them out, and/or spot spray with an organic pet safe herbicide like this one:
https://www.domyown.com/ecosmart-weed-grass-killer-rtu-p-8924.html
If you use the Ecosmart herbicide, be sure to shield the desireable plant from over-spray and drift.