I've found when working with organizing clients that it is often easier to get rid of items if they feel a sense of connection to the recipient. So, hand-me down linens that are still attractive, if you don't want to swap them out for those you're currently using, could go to a friend or acquaintance in a local sewing circle or quilt guild. Make friends with an antique shop or consignment store owner?
Clothing that's outgrown or too stained or ratty to likely be worn again can be bagged up, tagged "rag clothing", and dropped off at the nearest Salvation Army, which re-sells them in bulk to rag makers.
Kids toys - go through them with the kids and help them pick out things to give away/donate to share with other children. (eta: Or sell them at a garage sale, with the promise to the kids that the funds will be used for a family fun experience - maybe special picnic foods for a day at a nearby state or national park or forest? Seeing an appropriate movie on the big screen at an independent movie house? An outing to the nearest Science Museum? etc.)
Can you pass along usable items to a friend who's having a yard sale, in exchange for maybe half the proceeds from your items? Some people are happy to have more for sale items on display, it attracts more shoppers.
There are localized "Buy Nothing" groups, I'm told you can find the one nearest you on Facebook. (I'm not on FB, so can't attest personally).
Start small, take it one tiny goal at a time. When choosing where to start, consider:
what areas are causing you the most stress? These are usually everyday areas - kitchen, bathroom, play spaces. Start in one of these, so you can enjoy the benefits quickly and regularly.
Or, what areas are you least attached to emotionally? Items that've been stored away in the back of the closet can be easier to get rid of, we often feel less of a need for them.
Or, start in a hobby area, and each time you make progress in other areas, reward yourself with even small increments of time spent on the hobby/in that area.
Thing is, once you start getting rid of things the dopamine kicks in, and it becomes wonderfully freeing. I've seen long-time "holders" (not pathological hoarders) experience elation once that logjam of hanging onto breaks. I've never had a client later tell me "I got rid of X, and now I miss it." As with other challenging changes, look for and revel in the benefits.
For those who can manage it, it's probably wisest to pass along any materials that can be recycled now, before the global recycling glut backs all the way up to the local/individual level.
Our local college is not having an electronics recycling drop off day this year, for the first time in several years. I'm stuck with paying $15 to get rid of a non-repairable monitor.