Have you used this kvm before? Doesnt have the best reviews.https://www.amazon.com/CKL-Monitor-Extended-Display-CKL-922HUA/dp/B07KVJ54X2/ref=sr_1_3?gclid=EAIaIQobChMI99a_4o7q5QIVJIVaBR1e5QvlEAAYASAAEgJHKfD_BwE&hvadid=177258458636&hvdev=c&hvlocphy=9016243&hvnetw=g&hvpos=1t1&hvqmt=e&hvrand=17928872225911340289&hvtargid=aud-835997443427:kwd-5185801608&hydadcr=18039_9812711&keywords=kvm+switch+for+dual+monitors&qid=1573748708&sr=8-3
or if both computers are right next to each other plug the home computer into one set of inputs on the monitor (DVI) and the work computer into another set (DP) and then manually switch the input on the monitors for which ever system you want to use.