This is an awful time for you, I am sorry it has been so bad. Do you have a friend who can help you trace the cat, to go and find out who made arrangements to move him from your old place, where they took him, so you and your supportive friend can go there and see what the story is. He may be in a shelter somewhere. You could also go to the cat shelter places where they care for stray or "abandoned" cats to see if the cat is there. If no luck with either of those, or you are told that the cat ran away, put up flyers in the old neighbourhood, with a description and the time he went missing approximately and how to contact you. If he was microchipped, there may be a record of him somewhere he may have been taken or at local vets. Advertise in the local paper if you can. Ask people at neighbouring properties if they have seen him. Hand out flyers to the shelters too for future reference. You will have to do some investigation and I wish you luck with a successful outcome.
If you are really attached to and love the cat, it's your priority right now, even though it sounds as if you have a lot of stuff going on. Even if you don't find him - I really hope you do - you will feel better knowing that you have done all you can. If there is residual bad feeling between you and the people who evicted you which seems likely, going there is a job for your support person/friend perhaps. Good luck with this. I am sorry you are missing him. Cats rock.