You can decide how you wish to raise your crops.
I understand those who don't like to use pesticides. Killing insects, that can be some bad stuff sometimes. Killing weeds - not so much bad, but I understand it's a chemical that kills green stuff, and some might not be for that. I can understand.
I always am a bit confused by those who will use manure, but not commercial fertilizer.
The manure has a better chance of contaminating your well with bad bugs. The commercial fertilizer converts to the same exact N, P, & K that manure converts to. It has a tiny, tiny bit of salt in it depending on what type of fert you buy. It does not have the bad bacteria manure _may_ contain. Can't see the bad in fertilizer I guess for most situations.
Now, I think manure is a better fertilizer, offering more different nutrients and it slow-releases - so if you have access to it, I'm all for using that!
But - I get kinda puzzled on the fertilizer. You haul off N, P, K, and a very timny bit of micro nutirients when you harvest a crop. You need to haul that back on, and the crop won't care if it is a commercial product or a manure of some type. The crop just wants the right amounts available when it needs it. Source won't matter.
Anyhow, just opinion, yours & mine, so no big deal, your place do what you wish to do.
Here in MN, we plow in the fall to turn under the old crop & let it rot, let the ground dry out in spring so we can ge tinto it' the cold winter will help mellow the lumps; field cultivate in the spring to level the ground; harrow (aka drag) the ground to really level the ground nice & smooth (many field cultivators have a spring harrow on the back to do both in one step).
A disk used to be used in place of a field cultivator, but in our clay soils we found it left the top looking real nice, but packed the ground tight about 4 inched deep. The field cultivator will leave the top looking rougher, but it places the fine dirt in that 2-4 inch level right where we want the seed to be in the fine soil. You can use a disk instead of a field cultivator, but need to be careful of wet soils, and you don't want to go over and over and over with a disk. Once, possibly 2x is all.
Lime & manure and fertilizer is best to be put on when the ground is firm and you can drive without messing up the soil - it is usually a heavy load. So, in fall after the crop is off is often best. It is often best to work any of those into the soil fairly soon so they can get into that top 5 or so inches of soil & convert into something useful for the plants. Manure oactually washes off worse than commercial fertilizer, so we have rules in many states about getting it stirred into the soil within 24 hours or some such.
If you wish to avoid herbicides you will be playing a different game than the rest of us. You need to disk or field cultivate in spring; then after a rain or in a week, harrow the field. You don't want to see any weeds - the harrow will tear out the little tiny seedlings that are just starting to poke up. If you are lucky enough to have time to do that twice, a lot of the weeds in the top inch of soil (that's all a harrow really touches) will have sprouted and died, so you will have less weed pressure. If any of the weeds sprout & get big enough to see, you have probably waited too long & the harrow will not kill then any more. Oops.
After planting a row crop like corn or soybeans, you harrow about a week later, or when the corn is just cracking the surface - even a little spear of corn poking out. This will again kill the tiny weed sprouts, and will not hurt your corn planted 1.5 inches deep. (Your tractor tires need to match the row width and _not_ drive on a row...) Again, this is to kill the weeds you can't even really see, before they emerge.
There is a rolling harrow, or rotory hoe, that some use instead of a harrow after the corn is planted. You can use that a couple times, with a tad bigger corn even, and if you drive fast it flips out those little weed sprouts.
Beware: I don't know much about your other garden type crops, I'm only talking corn here!
Without herbicides, you need to cultivate or hoe the ground every week after planting (first time can be the harrow...). It doesn't matter if you see weeds. They are there, you need to destroy those little white sprouts. If you see 3 inch tall weeds - you've lost the battle. Pack it up for the year, your crop will be small. The weeds will outgrow the crop, even if you hoe or cultivate still 10% of those big weeds iwll escape & suck the sap out of your field.
I done it that way in the old days, how it was here in my part of the country. Without herbicides, you can't be lazy or put it off. You need a schedulae, & keep to it. Rain or not, you got to figure a way to go after those weeds in a timely fashion.
Just how it was 'here', and some of my opinion. Lots of room for doing it different, and other climate/ soil can be all different than 'here'.
--->Paul