Tums can usually take care of digestive symptoms as well as keeping an eye on what kinds of foods you're taking in (avoiding particularly "gassy" foods). Other than that, I think it's just one of those additions to pregnancy that make things interesting haha It's usually just a sign of things starting to shift around in your abdomen to make room for the growing uterus/baby. If it's really out of hand or you can't make it through the day without it being a serious annoyance, you can also ask your doctor if there is anything safe for pregnancy that can control the gas production.
Re: burps!