I grow my blueberries according to the method Mike McGrath touts on his radio show" You Bet Your Garden" online. Mike previously was the editor of Organic Gardening magazine and has a lot of great information on his website, he knows what he is talking about.
Depending on how old the plants are, you should not allow fruit to grow on two year old plants. It is best to grow blueberries as multiples. If you transplant early enough the plants should grow normally throughout the season. Although, It would be better to transplant in the fall
Blueberries need acidic soil. They don’t like a pH higher than 5 . Sulfur will lower the PH but it takes a long time to become active in the soil. (at least a season) When replanting, fill the hole with equal amounts of peat moss, compost and native soil.
Then, mulch the plants with an inch of peat moss, an inch of compost on top of that and then shredded leaves. Blueberries are shallow rooted and water lovers, and the mulch will help keep the moisture in the soil.
I add fresh compost in the spring and an inch of peat moss as a mulch. I give my plants organic fruit fertilizer, in the spring watered into the soil, as well as compost tea .
I planted all of my 4 blueberries in the fall using this process and I have had great results. Lots of berries!