Where to take gifts last minute?

We've been getting lots of gifts from extended family and family alike that feel compelled to send something to our toddlers this Christmas because we're choosing not to gather. We have enough "stuff" as it is, and I don't want to take on more. In addition to these new gifts, I've also been motivated to clean out the closets and have a few items from when the boys were younger that we cannot use anymore. This stuff is obviously used, and doesn't quite fit the category of the items that you drop offs usually take. I feel like if I take it to Goodwill tomorrow, it will be too late, as it needs to be processed. Is there somewhere I can baby items, new toys, used toys (not trash) tomorrow that can make use of it in time for Christmas?

I hate feeling like I'm being needlessly urgent, but I didn't exactly have most of these new gifts sitting here until yesterday and today.

My plan tomorrow is to call the community center at Emancipation park and go from there.