Depending on your moving date, if it's end of month / beginning of month, it will be busy, spring/summer are busy, weekends are busier too for movers! It's better to plan ahead and call a few companies for a free quote.
Just for your information, from our last experience, we tried to go cheap and hired a small moving company from Pennysaver ad, turned out to be a nightmare. The truck they had promised was only 1/2 the size, they showed up in the afternoon instead of promised morning, they damaged some of our furniture..
My suggestion is, pay a little more $$$ and go for a more reputable one. Or do like I am about to do, rent a truck and move yourself..