I have not heard any specific English form of tenancies, but tenant farming followed was broadly similar across Europe. That is not to say to say that European farming was similar everywhere, rather that tenant farming was just one of many different forms of farming.

So, tenant farming was the practice where landowners who owned more land than they themselves could cultivate, but did not legally control other people to do the farming for them (no slaves or serfs). So the hired tenant freemen are given parcels of the land to cultivate, and then pay the landowner with a part of the harvest, the land rent. The tenants would live and work at the farms all year round. And their pay would have been the rest of the agrarian surplus they were not obligated to pay their landowner or taxed away, which they then lived off of for the rest of the year. As for off season work, there was always work to be done at a farm, but winter was undoubtedly the low-intensity season. But it was then that the animals were butchered, wood collected from the forest, and most of the agricultural equipment maintained for the new year (fences, ploughs, etc)

I don't have a substantive answer for you but I would suggest reading David Howarth's 1066: Year of the Invasion because he goes over a lot of the details of the medieval English social and political structure and documents changes after the Norman take over. It may have some of the answers you are looking for.