Most changing pads are the standard size and fit most changing tables.
Some diaper changing pads for changing tables might be slightly bigger or slightly smaller than the changing table you use but most times the diaper changing pads are standard size.
The standard size changing pads are around 17" x 32" so if your changing table or dresser measures in around that then the changing pad should fit.
You can put a changing pad on top of a dresser and use the dresser as a changing table.
A dresser makes a great changing table that can be used later on as the kid grows out of diapers and gets potty trained.
When the baby or kid becomes potty trained and no longer wears diapers then you can use the dresser for the child's clothes.
With a changing table it's usually not used that much and really you don't need a regular changing table and what I did was just buy a dresser for my babies rooms and then added a changing pad on the dresser and put the babies diapers in the dresser.
The babies only used the dresser changing table until around 3 years old and then when they turned 3 years old I mostly changed them on my bed or on the floor.
But I still used the dresser to store their diapers in until they were potty trained and out of diapers and then I used the dresser for the child's clothes.
Some changing pads have a strap that attaches to the back of the dresser out of sight and some have non skid surfaces on the bottom of the changing pad and some have a sticky residue like glue or tape to secure the changing pad to the top of the dresser.