If roots are coming out the bottom, then your ponytail palm will definitely appreciate a deeper—if not overall bigger—pot. These plants are not very fussy and are often kept in smaller pots to keep their size small. The diameter of the pot you get depends on how long you want to wait until you have to repot the plant. Leaving at least a two-inch gap between the trunk and rim of the pot would give the plant plenty of space to grow and give you plenty of time to not worry about repotting. With that in mind, look for a pot that is on the deeper side, so the roots have plenty of room to grow.
If roots are coming out the bottom, then your ponytail palm will definitely appreciate a deeper—if not overall bigger—pot. These plants are not very fussy and are often kept in smaller pots to keep their size small. The diameter of the pot you get depends on how long you want to wait until you have to repot the plant. Leaving at least a two-inch gap between the trunk and rim of the pot would give the plant plenty of space to grow and give you plenty of time to not worry about repotting. With that in mind, look for a pot that is on the deeper side, so the roots have plenty of room to grow.