U can use any idol.... whatever u have @ home...no issues...Are you going to do vishnu avaahanam by keeping kalash n doing pooja to kalash?? For tulsi pooja , bhavanai is fine , that is pooja with idol or photo. U can do tulsi pooja with or without kalasam as per ur choice . But if u keep kalash , then u need to do kalash pooja too , along with tulsi pooja .
If you have a separate pooja room , the next morning after punar pooja meaning u can do a pooja with simple chantings or ashtotharam as per ur wish n offer neivedhyam like milk , payasam or any prasadam n can remove tulsi ma . If u dont have a separate pooja room , then u can remove n keep it in original place that day itself . God bless you .