When it comes the quality of reception, it is location, location, location.
That is the amount of signal available is very much location dependent.
Starting with the antenna in the basement will be a limiting factor for a number of reasons.
You might want to visit FM Fool
FM Fool.
Enter your street address and the elevation of your antenna above ground level and it will give you a rough idea of the signal strength available for an outside antenna.
A properly constructed FM dipole is a good antenna to start with along with regular TV style rabbit ear antennae.
Understand that how well an antenna works in a location other than your location, may or may not be an indication of how well it will perform for you.
When you look at the data from the FM Fool web sit, you can see the various directions to the FM stations that you want to listen to and determine if an omnidirectional antenna will meet your needs or if you will be able to use a directional antenna (most likely outside for the best performance).
Again, your reception quality is
location dependent, a simple piece of wire about 30 inches long, attached to one of the antenna terminals
may work OK for you.
Have you used the receivers above ground and if so what antennae did you use and what was the quality of the reception?
You mentioned that you have a window in the basement. It may be a good location for an antenna if it faces toward the stations that you are trying to receive.