Big toe pain near nail. What home remedy is good for this?

See below. Try soaking in warm water with liquid dishwashing detergent. This will help soften the skin. If the nail is involved use a cuticle stick to seperate the nail from the skin and then cover with andiseptic and bandaid.
Warm water . Soaks followed by topical antibiotic. If pain persists see a foot doc who may need to perform a partial nail avulstion. This is a quick in office procedure that will fix your problem.