Exemplo de teste de como tirar uma fotografia, copiar para um diretório e apagar o original.

TakePicture

import android.app.Activity;
import android.content.ContentResolver;
import android.content.Context;
import android.content.Intent;
import android.database.Cursor;
import android.net.Uri;
import android.os.Bundle;
import android.provider.MediaStore;
import android.util.Log;
import android.view.View;

import java.io.BufferedInputStream;
import java.io.BufferedOutputStream;
import java.io.File;
import java.io.FileInputStream;
import java.io.FileOutputStream;
import java.io.IOException;

public class TakePicture extends Activity {

    //Variaveis
    private static final int PICTURE_RESULT = 1001;
    private String fileName = "seucaminho\foto_%s.jpg";
    private File fileResult;

    @Override
    public void onCreate(Bundle savedInstanceState) {
        super.onCreate(savedInstanceState);
        setContentView(R.layout.tirar_foto);
        //Caminho da foto
        fileName = String.format(fileName, System.currentTimeMillis());
        //Arquivo da foto
        fileResult = new File(fileName);
    }

    @Override
    public void onClick(View v) {
        switch (v.getId()) {
            case R.id.nova_foto:
                Uri outputFileUri = Uri.fromFile(fileResult);
                Intent cameraIntent = new Intent(android.provider.MediaStore.ACTION_IMAGE_CAPTURE);
                cameraIntent.putExtra(android.provider.MediaStore.EXTRA_OUTPUT, outputFileUri);
                startActivityForResult(cameraIntent, PICTURE_RESULT);
                break;
        }
    }

    @Override
    public void onActivityResult(int requestCode, int resultCode, Intent intent) {
        if (requestCode == PICTURE_RESULT) {
            String path;
            File tempfile;
            path = getLastImagePath(this);
            tempfile = new File(path);
            copyFile(tempfile, fileResult);
            tempfile.delete();
        }
    }

    /**
     * Retorna o caminho da ultima imagem da media store
     */
    private String getLastImagePath(Context context){
        ContentResolver resolver = context.getContentResolver();
        final String[] imageColumns  = { MediaStore.Images.Media._ID, MediaStore.Images.Media.DATA };
        final String imageOrderBy = MediaStore.Images.Media._ID+" DESC";
        Cursor imageCursor = resolver.query(MediaStore.Images.Media.EXTERNAL_CONTENT_URI, imageColumns, null, null, imageOrderBy);
        if(imageCursor.moveToFirst()){
            String fullPath = imageCursor.getString(imageCursor.getColumnIndex(MediaStore.Images.Media.DATA));
            imageCursor.close();
            return fullPath;
        }else{
            return null;
        }
    }

    /**
     * Copia o arquivo de um diretorio para outro
     */
    public boolean copyFile(File source, File dest)  {
        BufferedInputStream bis = null;
        BufferedOutputStream bos = null;

        try {
            bis = new BufferedInputStream(new FileInputStream(source));
            bos = new BufferedOutputStream(new FileOutputStream(dest, false));

            byte[] buf = new byte[1024];
            bis.read(buf);

            do {
                bos.write(buf);
            } while (bis.read(buf) != -1);
        } catch (IOException e) {
            Log.e("Tirar foto", "copyFile", e);
        } finally {
            try {
                if (bis != null) bis.close();
                if (bos != null) bos.close();
            } catch (IOException e) {
                Log.e("Tirar foto", "copyFile", e);
            }
        }

        return true;
    }
}