Usually the footwear you choose should be aligned to the activity you are carrying out. There are sneakers that are designed especially for walking with support under the arches, perhaps. There are sneakers that are best for tennis, others that are better for running and then there are sneakers that just cater for fashion and appearance.
The last may command a high price for little benefit in design and support. If you want a good sneaker for a workout, think about the particular exercises that comprise your exercise regime and perhaps your fitness instructor or the physio attached to the gym will have some advice to give you.