The "standard" DIYs all have the same rarity, in theory, but are personality locked. The Chair and Sofa are given by Normal villagers, and the Bed is given by Peppy villagers. It doesn't have anything to do with what furniture a villager has in their home. So if you don't have any Normal/Peppy villagers, you have to rely on message bottles. Alternatively, having more Normal/Peppy villagers will obviously give a better chance at getting those DIYs. You could also make multiple player characters as each player character will get their own message bottle per day or go island hopping for a chance at another bottle. These DIYs are also given by Amiibo campers when they asked for crafted items, so if you have some Normal/Peppy Amiibo, you could keep inviting them and hope that they give the DIYs that you want. Otherwise, it's just up to RNG. Balloons only have seasonal DIYs, so there's no need to hunt those down if you just want the Log DIYs.
I gave up on getting all the DIYs by hand a long time ago and just traded for them, so I'd recommend doing that if you don't want to wait any longer. Also, if you just want the items, feel free to PM me whenever, and I can craft as many of the items you need as long as you provide the materials.