Spacing is the usual approach
Since antibiotics act on bacteria, many people separate their probiotic from their antibiotic by a couple of hours so the two are not taken at the very same moment. This is a widely used habit rather than a strict rule.
Because you are dealing with a prescribed medicine, the safest move is to follow the specific guidance your doctor or pharmacist gives for your course.
Keeping the timing straight
Taking two things at different times each day is exactly where a reminder earns its keep. Pillog lets you set separate times for each, check them off from the notification, and see your record as a monthly card, all stored on your phone with no account.
Once your course is finished, some people continue a probiotic for a while — again, your pharmacist can advise what suits you.