Michigan:
1. Harvest Limits: Our license system is kind of weird but first you have to get a "Base license" that allows you to hunt small game(except ducks because you need a federal stamp). You then buy either 1 deer license or a combo license. The single deer license will allow you to shoot 1 deer buck or doe. The combo license will let you shoot your first deer as a buck or doe. Your second tag can be a doe, but if you shoot two bucks one of them has to have at least 4 points on one side. So for example in 2017 I shot an 8 point during bow season, I used my +4 buck license first and then I had my other deer license for gun season, then I could take a smaller one if need be or a doe(I didn't
). The only exception now that we have CWD is they opened up certain counties to reduced price doe licenses or farmers can buy group tags of like 10 tags.
2. Season Date: Simple answer, Oct 1st is the opener for archery(compound included)
November 15th for gun season and I'll fight anyone who tries to change it. Rifle/Shotgun season ends Nov 30th.
Archery re-opens on December 1st and muzzeloader season opens on Dec 7th. Muzzleloader ends on December 14th or 22nd depending how north you are(upper or lower peninsula). Archery closes Jan 1st.
3. Hunting pressure: We have three zones. Zone 3 is the furthest south zone, mostly farmland and VERY heavily pressured on public or private land. It's a circus for gun season, I usually go north. Zone 2 is probably half way up the "mitten" and it's a little bit better. Archery is fairly well pressured but not crazy, gun season is pretty busy. Zone 1 is the upper peninsula and not pressured at all but there's not a lot of deer up there. It's God's country, bring a snow shovel.
4. Climate during season: October is fairly mild maybe 40's/50's during the day, 30/40's the further north you get. Late Oct. is a beautiful time to be in Michigan, the fall colors are stunning. Perfect temps for hunting in my opinion.
Nov. 1st-14th are usually around the 30's/40's, sometimes dipping into the teens early morning. Nov. is usually snowing at some point. Depending on how north you go, the range is from 1"-3"(southern lower peninsula) to 12"+(Upper peninsula) I've hunted some mornings during the gun season and it was single digits. Other times it was a little more mild.
December is cold and snowy, no two ways around it. You're looking at ranges from 20's and 30's to below 0 and 20 below windchill.
5. Sunday hunting? Absolutely, yes. What kind of sick state doesn't allow hunting on Sunday's!?
6. Gun law highlights, restrictions, etc: Pretty loose on gun laws. CCW or CPL you have to take a class that's one day and then register the handgun with the local sheriff. I think if you take the class first you can buy the gun from anywhere. Long guns are pretty lax as well. Pretty sure you can buy from over the counter in any gun store if you're over 21. There are restrictions on hunting with rifles basically below the blue line on this map.
The vast majority of the state's population is below that line so they don't allow traditional rifles. It's shotgun and muzzleloader. As far as legal rifle calibers below the line, there are several. Any .35 cal or larger straight-walled cartridge case with a minimum of 1.16" and a maximum of 1.8. .357 Maximum, .450 Bushmaster are a couple popular ones. These are effective 200 yard rifles, and no shotgun slug can hold a candle to them for accuracy or range. If you're a duck hunter it's 3 shots max, you have to have a plug.
I will also add that you have to take a hunter safety class before being able to buy a license if you're new to the state or if you're born before a certain date. Test is online and there's a one day field day.
I've lived here all my life and it's honestly one of the best places to be in the outdoors. There's thousands of acres of state land, the U.P is a goldmine for any outdoor enthusiast but the winters are brutal. Tons of fishing, hunting, hiking, and camping. The northern part of the lower peninsula is also very beautiful and has good hunting opportunities on public or private land. It's kind of a good mix of the two parts of the state. The southern part of the state has the most big bucks because of all the agriculture but is also the highest hunting pressure and least amount of state land. In terms of things to do though like going to town, it's a lot better than "up north". Metro Detroit and Grand Rapids are awesome if you like to go out on the town. I live near the capital in Lansing and hunt all the time, there's state land within driving distance of my house. I also have permission to hunt around me as well. It's a great place to grow up and live.
Hopefully this helps your decision and I hope the house hunting goes well!