On a recent trip out west, I took a tin of tea, a measuring spoon, the egg timer I mentioned in another post, and a couple of tea balls along. I wanted to take my electric kettle, too, but my husband convinced me to leave it home.
I was hoping at least one of the restaurants we stopped in would work with me to see that I got a decent cup of tea with my meals. (I get so damned aggravated with those thin metal "teapots" brought to the table with the bag on the side. Not to mention that it's a bag in the first place, or that the water usually isn't even hot enough to brew coffee.) At only one restaurant did the waitress agree to take my tea ball to the kitchen and pour the heated water onto it. Within 45 seconds she placed a heavy guage metal teapot on the table, my tea ball sitting at the bottom, fully immersed in recently-boiled water. (I used my egg-timer for marking time.) That potful was the best tea during the entire 4-day trip.
I use an oversized tea ball for steeping tea so that the leaves have plenty of room to expand and bloom. At home, though, I use either an infusing basket or two vessels--one for brewing, the other to decant into. I have a Bodum pot but don't like the press infuser. The Bodum (or an old glass coffee carafe) is my steeping pot when I use the two-vessel method.
Tea ball are convenient when traveling or when dining out. If they're big enough and packed correctly, I think they make good tea. (The problem isn't with the tea ball, I've found, but in getting restaurant staff to accommodate your tea-making requirements.)
Even so, tea balls are not my preferred method for steeping tea.
Martha