I dont know too much regarding some of your questions.  My mom had one 7 years ok and it was laparoscopic. They had her stay an extra day or two at the hospital for recovery. And she was definitely not able to return to work for at least a few more weeks as walking etc is hard when you're recovering from a major surgery like that. 

You probably won't be able to drive as they're likely to prescribe you pain medication. 

I had one three years ago (no family history but a gigantic fibroid). I was scared of the same stuff. And here is my experience:

Work

I had to take 6-8 weeks off but I was so bored by day 4 and wasn't allowed to lift anything that I worked from home. I could do that and it kept me busy.

Sex drive

This did change with menopause, which you will go into afterwards (maybe not immediately, but sooner than would be normal). Desire didn't drop off and sensation did not change, but you may need lube as there is dryness.

Craziness

You may go into menopause and it may be faster if your ovaries are removed. They left mine. I have heard that people have had success with hormone replacement with ovary removal to make menopause easier.

Hair

My hair is no grayer now that it was three years ago. It also isn't falling out.

Menopause

I did go through menopause sooner. Not sure if the hysterectomy contributed to it cycling (would go months without any "side effects") but it seems to be over now and other than feeling like my upper body is melting into my hips and buying one size up in pants, it seems to be stable. You may not notice menopause being any different from being a step mother.

Anesthesia

I also do horrible under anesthesia. Tell them. Give them examples. They gave me the minimum possible AND that glorious antinausea patch on my neck.

Laproscopic

I had laproscopic. Was supposed to be 3 hours, ended up 6 hours because of the grapefruit fibroid. You shouldn't have that problem since you are going in as preventative. And you'd have to get right up to my stomach to see any scars. They did a good job.

Driving

They made me wait three weeks. You may need to get someone to drive you if you want to go in after a week.

DO NOT PUSH IT

All I did was try to tuck in a sheet in the bed about a week after and that tiny bit of lift I gave the mattress caused me to pull a muscle in my stomach.

This is long and probably a lot more info than necessary so I won't leave it up long but I wanted to touch on all of your questions as best I could.  

All I have left are ovaries.  The rest was removed, laparoscopically, in 2015.  I was 35.  I went through a chemical menopause in order to shrink a tumor down enough to allow for laparoscopic once biopsies showed no sign of cancer.  Major side effects from that were gone about a month after last round of injections but it took much longer for things to regulate - I would say it's only in the last year or so I've gotten closer to "normal" and there are some things I don't expect to ever fully recover. 

Outside of the prepping for surgery I've not had any hormone treatment - ovaries are doing just fine.  During the months leading up to surgery I had some crazy hot flashes and memory loss.  Uncomfortable but not unbearable.  Severity increased as suppression progressed, though.

Surgery was several hours longer than anticipated so I was in the hospital overnight but only due to procedural cut offs.  Had we not run hours over I'd have not needed oxygen and we could've done the whole no dye in the urine check much earlier.  No major complications, cath was out a little under 10 hours from surgery and I walked myself to the bathroom no problems.  I walked out of the hospital unassisted about 15 hours after surgery, and part of that was sitting around waiting on paperwork.  Laughing or heavy coughing meant someone putting their weight into a pillow over my stomach.  Which of course made laughing that much more hilarious.  I got in the habit of just having weight on my stomach when I was lounging around.

Follow up appointment was at the two week mark.  Nothing heavier than a gallon of milk -though during the second week I did not follow that - and no driving. Only other restriction that I can think of was no sex.  I drove myself to my follow up and after a scolding from doc about the weight restriction I followed the gallon of milk rule another two weeks but had the okay on driving as long as I wasn't an idiot.  Internal stitches had to hold, if they didn't going in and fixing it meant a large incision was the threat that made me behave.

Doc was okay with me going back to work whenever I wanted (office) as long as I wasn't the one driving prior to my two week check-in.  He was still hesitant on my driving but told me to use my judgment.  So I worked remotely until I had that blessing. The brain fog slowed me down work wise more than the cabin fever.  Everyone swears I was pretty even keel but it was obvious I was uncomfortable.  I didn't feel any crazy and from what I'm told didn't exhibit any.

Prior to I had no grays.  I have a streak now.  Can't say it's due to the hormonal mess I put myself through or if it was going to happen anyway (I'm in line with a few family members).  I have light hair so you have to look for it anyway.  No thinning whatsoever.  

Sex drive did decline but not while I was suppressing hormones.  I saw no change during that time, didn't happen until my little friend was removed and I was on the mend.  It has gotten better as things started to level out and regulate but I am under no illusion that it will return to its prior insanity. I'm somewhere slightly above average now.  Although now that I say it, we didn't follow the no sex for two weeks rule, either.  As for anything literally feeling off I haven't noticed any pain, weird or new sensations or anything like that.  

I'm pretty sure I still have my discharge papers somewhere because like a weirdo I kept all of my images.  I can double check dates and instructions if that would be helpful.  I'm totally cool with sharing the details or answering any questions just shoot me a message.