I've been noting down remedies for when I conceive! Many moms recommend having cold milk, lemon juice, or ginger candies to soothe the stomach. Hope you feel better soon.
No need to buy fancy remedies. Just keep a lemon nearby to sniff when you feel sick, and drink simple nimbu paani with black salt. It is cheap and works wonders.
If your vomiting is very heavy and you can't keep any water down, please check with your gynecologist immediately. For mild nausea, small frequent meals can help, but safety first.
During my first trimester, I felt so miserable because of the constant vomiting. Sucking on small ginger pieces and eating dry biscuits before getting out of bed really helped me survive those weeks.