I agree that stainless steel is bad for coffee (glass-vacuum carafes are cheap and effective), but it usually takes awhile, an hour or more, before I notice a significant change in flavor from exposure to steel. On the rare occasion that I cannot avoid using a travel mug, I use this thermos tumbler.
Braces cost is around $4000-$6000. Braces cost $3,000-$10,000 depending on location and also on what kind of dentist does them, general dentist (cheaper) or orthodontist (more expensive). In European countries Braces usually cost about $5,000 nowadays.
The typical cost of braces will be somewhere around $4,500 to $10,000 altogether. The amount of work that needs to be done on the teeth will essentially determine the cost. If your child has very crowded or crooked teeth, you can expect to pay more towards the higher end of those numbers.