I direct seed all of my oak and chestnut trees; most in their final locations, but some using an in-ground container system I developed. My in-ground container trees are the only ones I transplant; those are usually started in early spring and grown in the in-ground container for 1 yr before transplant. On rare occasions, I have transplanted a 6-month old seedling in the fall (only if I know it can be given water on a regular basis and I use a highly specific water retention system and no fertilizer). Some have even remained in my nursery for a second year before transplanting to a final location. Given you probably won't see any trees (above ground shoots) before June, I'd probably nurse them along for a year. Unless you are sure you can keep them watered, it's probably pretty risky to transplant 4-month trees (at least they have been above ground for 4-5 months) with little secondary root system development.