Moving but need advice

[John Singleton]

I've been renting a house for awhile.. years actually.. and it has every problem you can think of.. mostly rats and bugs because theres holes and cracks in the doors and places in carpet where mice or rats been getting in and out. then guy raised my rent so i could get pest control but only does it like every 10 months. just say i found something better but the real question is this if i give my landlord a 30 day notice (im not on a lease) but the place im trying to move to might not actually be ready for maybe a week or two after the 30 day notice so in that time ill be homeless if i decided to move out after the 30 days.. I mean can the landlord really kick me out if im not a lease even if i gave him that 30 days? i might need to stay an extra week and im sure hes gonna want me out to get the place ready for his next victim lol.