STOP TALKING TO HIM ON THE PHONE. STOP TEXTING. Use email where you can censor yourself and communicate in a businesslike manner about ONLY business issues. You are NOT going to build a great co-parent R in the middle of the D process. The best thing you can do is STICK TO BUSINESS.
I really hope you will go with your L's recommendation — a couple of months is more than enough time for stbx to remove his property from your residence. It will not be good at all for you to have him have his stuff there for five years, not at all. Trust me, that is NOT a healthy tie to allow to remain.
Get this over with before things get worse. Quibbling about a few thousand dollars is soooo not worth it. First, it may lead you to wind up costing you more (stbx is going to keep getting more difficult). Second, few thousand dollars is not going to matter much a year from now. Just get it done.
Get honest with yourself about why you keep initiating counterproductive contact. It is not going to do you any good financially or emotionally or R-wise.