This script can be used to help you monitor your box's IP. That way you always know what IP to remote into.

monitor_ip_change.py

import socket
import smtplib
import sys

from time import sleep

from email.mime.text import MIMEText

FILE_NAME = '/dev/last_known_ip.dat'
TIME_INTERVAL = 600  #600 = 10 minutes
FROM = '[email protected]'
TO = '[email protected]'
EMAIL_SERVER = 'YOUREMAILSERVER'

def get_last_known_ip():
    last_ip = ''
    try:
        with open(FILE_NAME, 'r') as fr:
            last_ip = fr.readline()
    except Exception as e:
        print('Error reading ' + FILE_NAME)
        print(e)
    
    return last_ip
    
def send_email_notification(host_ip):
    try:
        print('Sending email') 
        msg = MIMEText('The host has changed to : ' + host_ip)    
        msg['Subject'] = 'your box\'s ip has changed again'
        msg['From'] = FROM  
        msg['To'] = TO

        s = smtplib.SMTP(EMAIL_SERVER)
        s.sendmail(FROM, TO, msg.as_string())
    except Exception as e:
        print('Failed to send email') 
        print(e) 

def save_new_ip(host_ip):

    try:
        print('Saving new ip')
        with open(FILE_NAME, 'w') as fw:
                fw.write(host_ip)     
    except Exception as e:
        print('Failed to save new ip:')
        print(e) 
        
def check_ip():
    saved_ip = ''
    host_ip = socket.gethostbyname(socket.gethostname())

    print(host_ip)

    saved_ip = get_last_known_ip()
    
    ip_has_changed = (saved_ip != host_ip)

    if(ip_has_changed):
        send_email_notification(host_ip)
        save_new_ip(host_ip)
    else:
        print('ip has not changed')   

try:
    while True:
        check_ip()
        sleep(TIME_INTERVAL) 
except KeyboardInterrupt:
    print("Quitting the program")
except:
    print("Unexpected error: " + sys.exc_info()[0])
    raise