The first action is to get good records on oviposition times (when eggs are laid) as ovulation of the next ovum occurs about 30 minutes later. The peak of LH is about 4 to 6 hours prior to ovulation. If you can select hens for the study that produce one egg per day and the same time, then timing of ovulation going to be about 30 minutes later and at the same time each day. Sampling for LH and FSH is straight forward sampling - I'd suggest 10, 8, 6, 4 and 2 hours prior to the predicted time of ovulation
Check out publications by Wayne Bacon in turkeys relative to serial bleeding in turkey hens for LH, the same relationshp to the LH surge in laying hens should exist.
This depend on the purpose for measurements of these two hormones. If you want exactly to determine the surge for these hormones, I suggest that you can collect blood three times before ovulation and three times after ovulation with an interval of 2 hours between each blood collection process.
Greetings to all, I agree with Dr. Colin, here you have to make individual records for each hen, on time of previous egg laid, so you have to separate them in individual cages to make blood collection easy and at the right time