Moving with your pet doesn't have to be a stressful experience — for you, your movers, or your pet. With just a few tricks, you can ensure that the process is smooth, safe, and comfortable for everyone. Here are five essential tips that will help make your move easier. 1. Respect your movers. Most reputable moving companies are pet-friendly but require that pets remain confined or away from the work area as movers load boxes and furniture into and out of their trucks.