AM and FM antenna systems

A simple dipole usually works well for FM.

Assuming the tuner has a connection for an external AM antenna and given the wavelengths involved the best option would be an Old School "long wire" antenna. This consists of 50' to 100' of copper antenna wire strung between two insulators outdoors. As a kid I had two of these strung at right angles that I could switch between. Rotating a "long wire" for best reception would be difficult. ;~)

Usually, the most minimal antenna is hugely better than no antenna, for FM.  After that, the gains achieved with better and better antennae are incremental at best and very much related to one's location.  For AM, I've never messed around much.

There are some excellent indoor antennas that won't break the bank that will require a few feet of cable and a stable place to rest. GOOGLE indoor antennas. FM antennas are much easier to find than AM units.