A good basic HF radio is the IC-718 by Icom. For 2m/70cm I have the
Yaesu FT-7900R in the car and at home, a good handheld 2m/70cm radio is the Yaesu FT-60R which is a great little radio however I'd suggest attaching a third party high gain antenna for optimum use.
Remember that the most important part (for HF especially) is the antenna. If you don't get your antenna right then you wont have much luck with the radio.