Some shelters accept sons, others do not. You may know the shelters in your area better than I.
If you are not paying him rent, he would have to give you a thirty day notice to vacate. After the thirty days, if you don't leave, he can file a possession case against you. If you do owe rent and you don't pay it, he can instead give you a demand to pay the rent and then file a lawsuit against you. The lawsuit procedure could take a couple of weeks. To file a lawsuit, he would have to get a summons that the sheriff or other court officer would serve on you. A court date will be scheduled for not more than 21-days after the summons is issued unless the landlord requests a later date.
The summons may be served personally, on a person at least 15-years of age who resides on the property, or by posting and mail. If service is by posting, hed must file a motion and obtain a court order to do so. This would take him additional time (maybe a day).
You would then have an eviction trial before a judge. If he proves his or her case or you do not appear, the court will issue a judgment for possession to the landlord. After the judgement is issued, you have 10-days to file an appeal. The court will issue a Writ of Execution if requested by him after the 10-day period. The writ is given to the sheriff’s office, which schedules an eviction date. The writ does have an expiration date and the landlord must contact the sheriff’s office at least 7 days before the expiration of the date.