Ipoh is in general a very safe city, certainly by international standards. However, there are some irritants like beggars, especially at bus terminals. It is better not to attract any unwanted attention by giving money to the beggars as most of them are professional beggars operated by syndicates.
Perhaps not so much a safety thing per se, but at the Central Market in New Town, particularly if you are an orang putih white person, don't let the traders rip you off which they are likely to do, if you let them. If the prices are signed clearly, hold them to it! Furthermore, Ipoh is probably not as tourist friendly as publications, such as Lonely Planet, make it out to be.
The city centre is relatively safe, but again, pickpockets do work in the stations. If you are carrying a bag make sure that it's secured all zipped up. If you have a wallet in your pocket keep a hand near it while exiting the buses. It is not advisable to leave your handbag dangling on your shoulder while walking next to main roads, as motorcycle snatch thefts do happen.