Oh and back to say, sleep routines are the most effective thing! Routines, managing exposure to light, and then managing temperature.
Go to bed at the same time every night and get up at the same time in the morning. Wear an eyemask and get your room as dark as possible. This trains your body into producing the hormones to get you cycling down (melatonin) into sleep and up (cortisol) into wakefulness in a healthy pattern. This is how you stop grogginess in the morning.
Grogginess is caused by waking in the "bottom" of a sleep cycle. Your sleep cycle is likely around 90 minutes, and you want 5 or 6 per 24h. So this means you need to be setting a sleep time of either 7.5 or 9 hours, plus falling asleep time. It takes on average 14 minutes to fall asleep - this is where the 8 hours target comes from.
Everyone has a variance around these averages. If you have a bed partner and their cycle is 80 minutes, say, you might be constantly being woken by them at the worst moment in the morning and this gets very draining. In this case go to bed a little earlier than them. But you might find that your little sleep is the time to sync up. What is your little sleep?
It's very normal to wake up after a couple of sleep cycles. In fact you wake up at the end of every cycle but you're not aware of most of them. Especially as you get older, you're likely to become wakeful at, say, 2am. You'll be awake for an hour, and then sleep your other 3 cycles. This is a hormonal adaptation and nothing to worry about. Getting stressed out about this is likely to disturb your sleep, because cortisol is produced. (Pre-industrial society used this time to pray, have sex, maybe have a little read or a drink -- Pepys writes about it.) I have a cup of tea and do some yoga, then put a podcast on until I go back down.
The most important thing is to get up at the same time, whatever happens. Get up and if possible get outside and exposed to sunlight. You need to boost cortisol production, which is your wakefulness hormone, just like at night cortisol needs to go down and melatonin needs to go up - they are opposite to each other and this cycle is your circadian rhythm.
This is too much information, when all you wanted was to know some nice pyjamas, lovely bedding, sleep masks, etc. But it's worth knowing - sleep is so important.