Some woods bend easier than others. Oak, Ash & Maple bend rather well
when either steamed and bent or wet and subjected to heat. Think 1/8"
thick -- maybe as thick as 1/4". It's going to depend on the radius of
your form. A really tight radius will require thinner strips of wood.
Of course you can then add additional thin strips of wood to get the
thickness you need. Prepare a form (you can use the table top with
tape or wax paper between to protect from moisture)-- have a lot of
clamps available. Get the wood wet & use a heat gun to make the wood
pliable-- 1/8" Maple will be wet enough in warm water in about 20
minutes. Clamp quickly, as wood looses it's elasticity as it cools.
If the table is not too large, you can use strips cut from an inner
tube to bind the edge wood to the form as you go ( you might need a
helper).-- Then after at least 24 hours you can glue/clamp as usual.
If this sounds like more than you want to do, then use the 'T' molding
(plastic) available at your local borg in various thickness/widths --
you have to rout a slot all around the edge of the table. Used in
lots of commercial office furniture-- cubicles & the like.