sounds like you picked some good ones. You'll be very happy.
Yes, HOMM I & II are easy to pickup and just come home from work and start playing, without having to remember alot of resource, setup stuff. That's kinda what I meant by a beer and pretzels kinda game. For me, HOMM III is more indepth and takes more thinking. Lately, I've been putting all my thinking into Shogun: Total War, Warlord Edition.
And, with Warcraft II and RedAlert w/expansion, you have a couple of real classics. In fact, of all the RTS, non-turn based games I've played, from the get go, I thought RA had what it took. I never tired of it. Just moved on. I have to say, of these type of games, though, when polled, I think the majority of players probably go with Starcraft as the best ever. Does Blizzard make bad games?
Hehe....my GF is coming into town Thurs thru Sat., and suggested that we take all of Friday and do nothing but computer games. Gotta luv her.....she isn't a gamer, but at least is willing to give HOMM III a try. She even understands the concept of what I'm doing in Shogun. The girl of my dreams?

You bet.
--Randy