Today the audio quality of most DAW is NOT correlated with price. There have been test reports stating that even cheap solutions provide professional audio quality. Even the entry level or LE versions of well known DAW developers have excellent audio performance. Those entry versions will mostly miss a set of additional plug-ins, effects, some pro-features of the GUI or of midi/audio editors. But they don’t stay back on audio quality.
If you want a multi-track recorder only (for a start), you might even get along with LE versions bundled with your audio-interface … (many have this option). Later you can upgrade, if needed.