how do you handle your clean records?

See that is just what I'm afraid of lol. I guess some just have more coordination than me. I am trying the slide out and handle from the edges only system. I'm worried about droping it and with only hardwood floors it just cant be good on the records.

+1 cleeds.  That's the method I've been using for 40+ years and it hasn't failed yet.  Vinyl records are pretty resilient, too.  The only time I've ever damaged a record surface was a vertical abrasion against a sandstone hearth when I was careless sliding the dust jacket into the sleeve.  Plain stupid on my part; ended up buying 2 new copies.  The first wasn't as good as the one I'd damaged, but the second was better. Silver linings!

Happy listening!

Hold the record sleeve with your left hand and then tilt so the record slowly slides out if the sleeve.. You’re basically pouring it into your right hand.. Allow the record's edge to rest on your four fingers of your right hand and when the label comes out just use your right thumb to balance the record on the label.. Now you’re holding it kind of like you hold your pizza.. Easy stuff buddy.. Put it back the same way..

I think to must be an age thing…it drives me nuts to see somebody like Jimmy Fallon grabbing an LP by its edge and pulling it out of the sleeve when for about 50 years or so  I've been avoiding ever touching anything but the edge using the previously described "palm with fingers on the label" move. When Hippitty Hop DJs came around I thought damn…get yer fingers off that record! (old…I'm old..) Now Mister Fussy record cleaner man with anti static Mofi rice paper blah blah and WAY better gear says NO NO NO…I had a friend back in the day who for reasons I never understood would do a quick weirdly habitual forearm rub on his LPs before playing them…shocking!  Saw LPs made into bowls (really ugly bowls at that) at a craft show recently…tragic…I pointed out to the seller that it must be hard to play them at that point, and then wept silently (not really…but still).

Dropping a record on a hardwood floor should not be a problem. Just clean it and play. After all you wouldn't do it too often.
Also, take a record that is not valuable and intentionally drop it on the floor. Or, if you wish, I can do it for you and report what happened. I have a hard wood floor and can drop it from, say, five feet.
But I am carefull not to drop my Maxell Vertex cassettes that I regularly play. This could be unfortunate, though most likely even the cassette would survive the drop on the hardwood floor from three/four feet.