[SalesForce] which standard controller should be used to override Person account “New” and “Edit” Page using VF Page

I am overriding person account standard Page with VF page. If I use standard controller as "Account" I am unable to get Picklist field values from "Person Account", If I use "Contact" as a Standard Controller I will get all picklist field value but can not Override "New" button in standard "Account" object.

This is my visualforce Page

<apex:page standardController="Contact" extensions="Account_ext" tabStyle="account" sidebar="false" >
<apex:form >
 <apex:pageBlock title="Person Contact Edit">
   <apex:pageBlockButtons >
       <apex:commandButton value="Save" action="{!save}"/>
       <apex:commandButton value="Cancel" action="{!cancel}"/>
       <apex:commandButton value="Save & New" />

   </apex:pageBlockButtons>
    <Apex:pageBlockSection >

     <apex:pageBlockSectionItem >
<apex:outputlabel value="First Name"/>
<apex:outputpanel >
    <apex:outputfield value="{!Contact.Salutation}" />
    &nbsp;
    <apex:outputfield value="{!Contact.FirstName}" />
</apex:outputpanel>
   </apex:pageBlockSectionItem>   


       <apex:inputField value="{!Contact.lastname}"/>        
        <Apex:inputField value="{!Contact.Lead_Source__c}" />
        <apex:inputField value="{!Contact.Enquiry_Budget__c}"/>
         <apex:inputField value="{!Contact.Enquiry_check__c}"/>
        <apex:inputField value="{!Contact.Enquiry_Flat_Type__c}"/>
         <apex:inputField value="{!Contact.Enquiry_Locality_Preference__c}"/>
         <apex:inputField value="{!Contact.Enquiry_Location__c}"/>
          <apex:inputField value="{!Contact.Enquiry_Name__c}"/>
         <apex:inputField value="{!Contact.Enquiry_Potential_Name__c}"/>
         <apex:inputField value="{!Contact.Enquiry_Property_Type_Preference__c}"/>
         <apex:inputField value="{!Contact.Enquiry_Type_Of_Purchase__c}"/>
         <apex:inputField value="{!Contact.Lead_Source__c}"/>
       <apex:inputField value="{!Contact.Mailing_City__c}"/>
     <apex:inputField value="{!Contact.Mailing_Country__c}"/>
       <apex:inputField value="{!Contact.Mailing_State_Province__c}"/>
       <apex:inputField value="{!Contact.Mailing_Street__c}"/>
       <apex:inputField value="{!Contact.Mailing_Zip_Postal_Code__c}"/>  
       <apex:inputField value="{!Contact.Opportunities__c}"/>


      <apex:pageBlockSectionItem >
       <apex:outputLabel >Project</apex:outputLabel>
                    <apex:selectList multiselect="false" size="1" value="{!Contact.Project__c}">
                        <apex:selectOptions value="{!prj}" />
                    </apex:selectList>   
       </apex:pageBlockSectionItem>  
    </Apex:pageBlockSection>

 </apex:pageBlock>
</apex:form>

</apex:page> 

This is my Controller as of Now still work is on…..

public class Account_ext {

    public Account_ext(ApexPages.StandardController controller) {

    }
     public string prj;

    List<selectOption> options = new List<selectOption>();
    public List<selectOption> getprj() {
        for(project__c acc : [select Id,name from project__c])
        {
            options.add(new selectOption(acc.name,acc.name));
        }
        return options;
    }

}