Lots of great feedback, thanks everyone! A few things to add:
1. In my fuse panel, there is a spot for a relay, with pins, for the fog light circuit, and already a 15 amp fuse in place right beside it, so I just need to get the relay. This is also another good confirmation that my car is pre-wired for fog lights.
2. The AC Delco turn signal switch on Amazon, according to them, will not fit a 2003, 2005 or 2007 Corolla, although one of the reviews says he successfully used it in a 2005 Corolla (previously I incorrectly said it was a 2007). In the grand scheme of things, a few extra dollars for a brand new one from Sparks Toyota TRD parts is not that bad. So it's a $160 instead of a $60 for one on Amazon that may or may not work, and maybe $25 for a used one from a junkyard that may have a shortened life. I like the peace of mind knowing that it's a brand new OEM Toyota part that's meant for my year and model of car. And I'll be paying someone to install these things for me, so if I have to pay them twice, to put back my original part and then later the replacement part, any potential savings are gone.
3. Just in case the new turn signal switch doesn't work, I will also order the dash mounted switch for the Camry/4Runner. It's only $8, so no big deal if I don't use it. I may find a use for it later. And if I need it, it's there. No need to wait for one to be ordered. And I had a feeling the Tacoma switch might not work, it just looked different, thank you for confirming that. And it's a lot more expensive too!
4. Good to know about the wiper switch too! Since the steering wheel will be off anyways, I'd LOVE to upgrade to variable intermittent wipers, and save a bit of money on labor because this is not something I can do or even want to try. Last night I found a few threads on this forum that confirmed all I need to do is change the switch to get variable intermittent wipers, so that's what I'll do. Again, for peace of mind and simplicity, I'll probably just order a new one from Sparks Toyota. Can't go wrong with brand new OEM parts, except for price. But, I believe in spending as much as possible. Just kidding! :grin: Both the wiper and headlight/turn signal switch cost less than I was expecting anyways. I'll make up for the extra cost somewhere else.
5. I don't really mind if the fog lights go off when the high beams come on. If it was easy to make them stay on, then I'd do it, but for me, it's not worth the extra time and expense to make a workaround for that. Although if operation of this function is controlled by the DRL's then it might work out differently... Recently I had someone disconnect my factory DRLs (as per several threads on this website), and install a set of turn signal DRLs where the bright filament on the turn signals come on for the DRLs and he custom wired it so that they go off when the handbrake is pulled up (even after it's been put down while the car was running, unlike the OEM DRLs). I also have a discrete switch under the dash to disable the new DRLs should I ever want to have them on or off on demand, without using the handbrake. It will be interesting to see if my fog lights stay on with the high beams now. I'll report back on that later, but it may be a few weeks or longer before I receive the new parts and get them installed.
6. Nice to know the fog lights install so easily, hook into the slot on one side and the bolt on the other. If those plastic splash protector panels under the bumper weren't in the way, I might have actually tried to remove the black filler covers and put in the fog lights myself, and put in the relay. Then once I get someone to put in the new turn signal switch, the fog lights should be operational!
7. I never asked this before, but for bulbs... I want to replace the ones that are in there now. Being that they are used OEM fog lights, I have no idea how old they are, and don't want to be removing the fog lights any time soon to replace burnt out bulbs. Of course, the most reliable bulbs will probably the ones the Toyota dealer sells. Next best bet, aftermarket replacement bulbs from an auto parts store. But I wouldn't mind yellow bulbs. Of the ones I've seen online, they are either pricey and/or may burn out quickly. High performance bulbs incandescent and HID tend to do that. I had that experience with Piaa Extreme White headlight bulbs in this Corolla. Removed the original, and still functional OEM headlight bulbs to put in the PIAAs. The first one burned out in 4 months, the other side two weeks later. They looked great while they lasted but I don't want to be driving around with burned out bulbs until I get a chance to replace them, and do so on a frequent basis. So, I'm back to stock bulbs (brand new ones, cheap and they last forever). :grin: Not sure about LED fog light bulbs. So once again, I may give up nicer, better looking and brighter bulbs for more reliable, ordinary bulbs. And maybe attract less attention for being pulled over. I haven't been pulled over in many, many years. As soon as I got the PIAA bright white bulbs, I got pulled over on I-90 in South Dakota for going 2 (yes TWO miles per hour over the speed limit, according to the cop).

:ugh3: I think it was a ruse for doing a check for drug smuggling as I have out of state plates and they look for that. And I have long hair, long beard, earrings and tattoos but I have for a long time and always drive nice and normal and never get pulled over, especially in an otherwise stock looking Corolla. He asked to look through my car and use his drug sniffing dog to check. I had nothing to hide so I politely said "sure, go ahead." He soon discovered it was a waste of time for me, him and his dog, and my dog! I've driven across the USA and Canada many, many, many times, and never had a problem with stock bulbs. Coincidence? Maybe. Maybe not. Probably stock, white bulbs are best, look good, are reliable and long lasting while attracting less attention? Too bad, because I think yellow ones are more effective in fog and heavy snow.