While many people settle for the standard basket strainer ... the straining power. Flange strainers come with a rubber rim that creates a seal, preventing water from bypassing the drain. Some attach ...

Then, get under the sink with a trouble light. Dry off all the pipes and examine the seals around the basket strainers ... or ...

Measure the sink tailpiece between the basket strainer and the tee. That measurement is the extra depth that can be added to the sink bowl without lowering the drainpipe going into the wall.