Odd meters aren't harder than 4/4 — they're just shaped differently. The trick is to feel them as combinations of small groupings rather than counting individual beats. 5/4 is naturally felt as "3 + 2." 7/8 splits into 2+2+3, 3+2+2, or 2+3+2 depending on the music.
Once the groupings are internalized, the meter stops feeling odd. It just feels like a different shape.
Exercises
3A — 5/4 Groove (3+2 feel)
Feel 'long, short' — three beats then two. Bass drum on 1 and 4 anchors each group; snare on 3 and 5 marks the back end.
3B — 7/8 Groove (2+2+3 feel)
Count 8ths: 1-2 / 3-4 / 5-6-7. The last group is the long one. Don't speed through it.