I'll use some questions and if you don't mind answering them the way I have below (I'm giving some additional detail for context...you're welcome to do the same if you don't mind).
Feel free to comment on my answers if you notice something that may impact the quality of my tea session. I can't do much about time, but the type of tea, food and other drinks may play a role.
1) What tea do you most often drink first thing in the morning?
2) How long after waking do you have your first tea?
3) How long does this first session last?
4) Do you eat before, during or after this first tea session?
5) Do you drink anything else before this tea session?
6) What do you do after this tea session (e.g., work, fitness)?
7) When do you drink your next tea, and what type do you drink?
My answers:
1. Sencha. But I'm considering changing it to Wuyi (favourite oolong) or other oolongs (going to try different ones to see what I like, and this may mean not always having the same tea every morning).
2. 5-10 minutes after waking up.
3. 15-30 minutes. 15 minutes if I'm going cycling or something right after tea and breakfast. Up to 30 minutes if I have time.
4. During. I usually eat granola or muesli, with fruit and either yogurt or milk. Not sure how well this is complementing the tea, but I need the calories for when I'm cycling in the morning.
5. A glass of water before, if I remember.
6. Fitness then work. So I'm not re-steeping aged wuyi tea 20 times

7. 2-3 hours later. Sencha, again. I'll have some wuyi or another oolong in the afternoon and that's all the tea for the day.