Hey! Experienced here. Soap+water is good advice, but do try not to get the soap into the wound: it's very painful. Once/if you start going deeper than this, getting soap *into* the wound can be genuinely dangerous as well. Be careful with water. Rinse with warm water and dry thoroughly, but take care not to irritate the wound. If you don't have an alcohol-free antiseptic solution I would suggest using none at all to avoid irritating the wound- your risk of infection is low if you ensure you don't pick or scratch at it.
As for drying the wound after cleaning, your best bet would obviously be sterile equipment, but in a domestic setting try to find a clean towel or article of clothing. This is a dermis cut, so you're at the point where things get serious. Deeper than this and you'll be dealing with nerve damage.
Since this is your first time, some some another tips:
With these cuts, bleeding can take a little while to stop. It peters out eventually if you're laying flat, but quickly begins bleeding heavily if you stand. Applying pressure for 1-5 minutes can help prevent this. Do *not* use tissues for this: pieces of the paper can get stuck in the wound and cause severe infection, and any chunks are *not* fun trying to remove on your own.
If you want to close these, it's easiest to use Steri-Strips. You can also makeshift these with tape, but it's a little unsanitary. Personally, I simply hold both ends of the wound together (so it looks more like a scratch) and then apply a cut bandaid over it to ensure it's held like that for as long as possible. This causes the wound to heal shut, preventing a larger scar. It *will* scar, though.
This wound will most likely leave a scar that lasts at least 1-3 years, if not permanent. It'll fade to a pale white-ish peach eventually.
If you can't use bandaids, there's a chance it'll close up on its own as you sleep because of the way the thighs fold, but I wouldn't bet on it. Good luck with your future endeavours!