Mashing in a fermentation bucket?

[Ferthy]

Hello
I have been distilling for a bit over a year now. I’m looking to try going all grain this year or maybe next year. The problem researching is half the battle. I have past experience with home brewing. Only ever did partial mash beers but I understand the process and frankly making an all grain mash for distilling seems a bit easier than for beer. Less steps involved especially if you ferment on grain.

The other problem is telling the wife I will be needing more time, money, space etc.

My question is could I just mash my grains in a fermentation bucket? If I ferment on the grain I feel that would be easier. I might have to cook corn, if I use it, in my brew pot. But my brew pot would only be big enough to make one charge if I used it as my mashing tun. If I could mash in buckets and use blankets etc to insulate them during the conversion process a mashing tun is one less thing I would have to make and find a place to store in our already small house. And I could make multiple mashes at once.

Probably a newb question. But I have looked through recipes and have only really seen a couple people talking about using them and didn’t know if I would be shooting myself in the foot or if I should factor making a mashing tun into my proposal as I already have the buckets.