There's a chat messenger set up for Home Movers contactus/moving-home which works well on a PC/laptop, not sure about via a tablet or mobile. It isn't always manned though.
You could also try the text messaging service. Just send a text with a description of Home Move to 07533 051809. Your message will go into a queue and a representative will respond to you as soon as possible. It may take a few days.
You can also call 150 from a Virgin landline, or 0345 454 1111, options 1,1 and 4 (Home Move) butbest to call at 8am to avoid call queues
The Service you do for others is the rent you pay for your room here on Earth - Muhammad Ali