write trigger which will get triggered on insert or update operation on contact which will call on apex class which handles records updates operationss

Hii SaiReddy

public class NumberOfChildTriggerHandler {
    public static Void InsertMethod(list<Contact> lstCon ){
        List<Account> accList=new List<Account>();
    Set<Id> setAccIds = new Set<Id>();
         for(Contact con : lstCon){ 
            if(con.AccountId != null){
               	setAccIds.add(con.AccountId);      
			}   
    	}
        for(Account acc :[Select id,Total_Contacts__c ,(Select id,name from contacts) from Account where Id in : setAccIds]){
        acc.Total_Contacts__c = acc.contacts.size();
        acclist.add(acc);
    }
    if(acclist.size()>0){
        update accList; 
    }
    }
    public static Void UpdateMethod(list<Contact> lstCon,map<Id,Contact>oldmap ){
        List<Account> accList=new List<Account>();
    Set<Id> setAccIds = new Set<Id>();
         for(Contact con : lstCon){ 
            if(con.AccountId != null && con.AccountId != oldMap.get(con.Id).AccountId){
               	setAccIds.add(con.AccountId); 
                setAccIds.add(oldMap.get(con.Id).AccountId);
			}   
    	}
        for(Account acc :[Select id,Total_Contacts__c ,(Select id,name from contacts) from Account where Id in : setAccIds]){
        acc.Total_Contacts__c = acc.contacts.size();
        acclist.add(acc);
    }
    if(acclist.size()>0){
        update accList; 
    }
    }
    public static Void deleteMethod(list<Contact> lstCon){
        List<Account> accList=new List<Account>();
    Set<Id> setAccIds = new Set<Id>();
         for(Contact con : lstCon){ 
            if(con.AccountId != null){
               	setAccIds.add(con.AccountId);      
			}   
    	}
        for(Account acc :[Select id,Total_Contacts__c ,(Select id,name from contacts) from Account where Id in : setAccIds]){
        acc.Total_Contacts__c = acc.contacts.size();
        acclist.add(acc);
    }
    if(acclist.size()>0){
        update accList; 
       }
    }
}

trigger NumberOfChild on Contact (After Insert,After Update,After Delete) {
   If(trigger.isAfter &&Trigger.isInsert){
        NumberOfChildTriggerHandler.insertMethod(trigger.new);
    }
    If(trigger.isAfter &&Trigger.isUpdate){
        NumberOfChildTriggerHandler.updateMethod(trigger.new,trigger.oldMap);
    }
     If(trigger.isAfter &&Trigger.isDelete){
        NumberOfChildTriggerHandler.deleteMethod(trigger.old);
    }
}