Look for a stripper who uses the flow-over technique. Not the old-fashioned, destructive caustic (lye) dip.
Flow over uses a regular solvent type stripping chemical and a basin to capture the overflow as it is gently pumped over the piece. The chemical is filtered and recirculated and it does the best job of getting everything off without damaging the wood or the veneer and glue joints.
Casey

But first find some one who has used the strip place you are thinking of.
You really can do it...I have....If it's oak, it's harder as the paint may get into the grain. But if you can afford it....hire it done.

Wonderful, thank you both for your help.