This is a project I'd do outside in warmer weather. Always use a Respirator Mask designed to keep you from inhaling the dust & fumes. I use the ones with canisters that screw on & have replacable filters. Goggles too to protect your eyes & stripping gloves.
Try a water based stripper first. Sand with the grain. Last step wash down good with mineral spirts, wiping with the grain, to remove any oils/etc left on the wood. If they stained the wood first you may not be able to get it all out, even with sanding. I've refinished many dressers & bed frames dating to early 1900's. I've also stripped the wood doors, baseboards, staircase, window frames, etc in my 100 year old house. It's a lot of work, but the end result is worth it.
Stores like Home Depot, Lowes, home supply/repair stores often have a brochure with suggestions on how to do projects, supplies, etc.